The North Campground (3,5) is midway between the North Point Overlook (1,y) and the Waterfall (x,1). How do I use the Midpoint Formula to find the values of x and y and justify each step? Please show steps.

Answer 1

Use the midpoint formula ...

Since the point (3,5) is the midpoint ...

#3=(1+x)/2# or #x=5#

#5=(y+1)/2# or #y=9#

hope that helped

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Answer 2

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  2. North Point Overlook: (O(1,y)) To find the values of (x) and (y) using the Midpoint Formula:

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  2. North Point Overlook: (O(1,y))

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  2. North Point Overlook: (O(1,y))

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  1. North Campground: (N(3,5))

  2. North Point Overlook: (O(1,y))

  3. Waterfall:To find the values of (x) and (y) using the Midpoint Formula:

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  1. North Campground: (N(3,5))

  2. North Point Overlook: (O(1,y))

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  1. North Campground: (N(3,5))

  2. North Point Overlook: (O(1,y))

  3. Waterfall: (W(xTo find the values of (x) and (y) using the Midpoint Formula:

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  1. North Campground: (N(3,5))

  2. North Point Overlook: (O(1,y))

  3. Waterfall: (W(x,To find the values of (x) and (y) using the Midpoint Formula:

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  1. North Campground: (N(3,5))

  2. North Point Overlook: (O(1,y))

  3. Waterfall: (W(x,1)\To find the values of (x) and (y) using the Midpoint Formula:

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Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

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Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

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Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

MidpointTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint FormulaTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \fracTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{xTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 +To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. ApplyTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2},To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the MidpointTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint FormulaTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the givenTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation.To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 +To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. LetTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1,To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right)To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) \To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)\To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1))To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

UsingTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) beTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using theTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the MidpointTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates ofTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint FormulaTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula,To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the NorthTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, weTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North PointTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point OverlookTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

ForTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook,To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and \To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (xTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x\To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((xTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinateTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2,To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \fracTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)\To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2))To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 +To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) beTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates ofTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2}To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the WaterTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} =To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the WaterfallTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

3To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. SinceTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North CampTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + xTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North CampgroundTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x =To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground isTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midwayTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 \To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ xTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x =To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5))To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \fracTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serveTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve asTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{yTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y +To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpointTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

4.To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. SetTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set upTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2}To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations usingTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} =To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the MidTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 \To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the MidpointTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint FormulaTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ yTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: \To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 =To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ \beginTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ \begin{To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ \begin{casesTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 \To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 +To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification forTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each stepTo find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step: To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2}To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step: 1To find the values of (x) and (y) using the Midpoint Formula:

  1. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  2. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  3. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  4. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. WeTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply theTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the MidTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \fracTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the MidpointTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint FormulaTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separatelyTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for theTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 +To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (To find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (xTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x\To find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-To find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinatesTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (To find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} =To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (yTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y\To find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-To find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinatesTo find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates. 2To find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates. 2.To find the values of (x) and (y) using the Midpoint Formula:

  2. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  3. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  4. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  5. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. ForTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{casesTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For theTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x\To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} \To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate,To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we setTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve eachTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set theTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation forTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the averageTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of theTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (xTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x)To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (xTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) andTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x\To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinatesTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y\To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates ofTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y): To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y): To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (OTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y):

    • FromTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O)To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y):

    • From theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y):

    • From the firstTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W)To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y):

    • From the first equation:To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal toTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y):

    • From the first equation: (To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to theTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y):

    • From the first equation: (x_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y):

    • From the first equation: (x_1To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (xTo find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y):

    • From the first equation: (x_1 +To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x\To find the values of (x) and (y) using the Midpoint Formula:

  3. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  4. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  5. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  6. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  7. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving theTo find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equationTo find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 =To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation forTo find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (To find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (xTo find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2\To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x\To find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x),To find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 +To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), weTo find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find theTo find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the valueTo find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 =To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (To find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (xTo find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x\To find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x). To find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \RightarrowTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x). 4To find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x). 4.To find the values of (x) and (y) using the Midpoint Formula:

  4. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  5. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  6. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  7. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  8. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. ForTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 =To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (yTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 -To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y\To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinateTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set theTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average ofTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions forTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (yTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y\To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (xTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates ofTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1)To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) andTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (OTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) andTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (WTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W)To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1)To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equalTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) intoTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal toTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into theTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to theTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respectiveTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations: To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y\To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations: -To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinateTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate ofTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 -To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - xTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (NTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N\To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N),To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 +To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), againTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + xTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again becauseTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because theTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campgroundTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 =To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground isTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midwayTo find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway. To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6\To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway. 5To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6). To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway. 5.To find the values of (x) and (y) using the Midpoint Formula:

  5. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  6. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  7. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  8. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  9. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  10. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6). To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway.

  5. SolTo find the values of (x) and (y) using the Midpoint Formula:

  6. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  7. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  8. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  9. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  10. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  11. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6). -To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway.

  5. SolvingTo find the values of (x) and (y) using the Midpoint Formula:

  6. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  7. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  8. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  9. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  10. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  11. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6).
    • (To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway.

  5. Solving theTo find the values of (x) and (y) using the Midpoint Formula:

  6. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  7. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  8. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  9. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  10. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  11. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6).
    • (10To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway.

  5. Solving the equationTo find the values of (x) and (y) using the Midpoint Formula:

  6. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  7. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  8. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  9. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  10. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  11. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6).
    • (10 -To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway.

  5. Solving the equation for (y), we find the value of (y\To find the values of (x) and (y) using the Midpoint Formula:

  6. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  7. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  8. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  9. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  10. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  11. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6).
    • (10 - yTo use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway.

  5. Solving the equation for (y), we find the value of (y).To find the values of (x) and (y) using the Midpoint Formula:

  6. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  7. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  8. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  9. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  10. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  11. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6).
    • (10 - y_To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway.

  5. Solving the equation for (y), we find the value of (y).To find the values of (x) and (y) using the Midpoint Formula:

  6. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  7. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  8. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  9. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  10. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  11. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6).
    • (10 - y_2To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway.

  5. Solving the equation for (y), we find the value of (y).To find the values of (x) and (y) using the Midpoint Formula:

  6. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  7. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  8. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  9. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  10. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  11. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6).
    • (10 - y_2 +To use the Midpoint Formula to find the values of (x) and (y) for the given scenario:

Given points:

  1. North Campground: (N(3,5))
  2. North Point Overlook: (O(1,y))
  3. Waterfall: (W(x,1))

Midpoint Formula: [ M\left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) ]

Using the Midpoint Formula, we have:

For the (x)-coordinate: [ \frac{{1 + x}}{2} = 3 ] [ 1 + x = 6 ] [ x = 5 ]

For the (y)-coordinate: [ \frac{{y + 1}}{2} = 5 ] [ y + 1 = 10 ] [ y = 9 ]

Justification for each step:

  1. We apply the Midpoint Formula separately for the (x)-coordinates and (y)-coordinates.

  2. For the (x)-coordinate, we set the average of the (x)-coordinates of (O) and (W) equal to the (x)-coordinate of (N), as the campground is midway between the overlook and the waterfall.

  3. Solving the equation for (x), we find the value of (x).

  4. For the (y)-coordinate, we set the average of the (y)-coordinates of (O) and (W) equal to the (y)-coordinate of (N), again because the campground is midway.

  5. Solving the equation for (y), we find the value of (y).To find the values of (x) and (y) using the Midpoint Formula:

  6. Recall the Midpoint Formula: For two points ((x_1, y_1)) and ((x_2, y_2)), the midpoint is ((\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})).

  7. Apply the Midpoint Formula to the given situation. Let ((x_1, y_1)) be the coordinates of the North Point Overlook, and ((x_2, y_2)) be the coordinates of the Waterfall.

  8. Since the North Campground is midway between the North Point Overlook and the Waterfall, its coordinates ((3,5)) serve as the midpoint.

  9. Set up equations using the Midpoint Formula: [ \begin{cases} \frac{x_1 + x_2}{2} = 3 \ \frac{y_1 + y_2}{2} = 5 \ \end{cases} ]

  10. Solve each equation for (x) and (y):

    • From the first equation: (x_1 + x_2 = 6 \Rightarrow x_1 = 6 - x_2).
    • From the second equation: (y_1 + y_2 = 10 \Rightarrow y_1 = 10 - y_2).
  11. Substitute the expressions for (x_1) and (y_1) into the respective equations:

    • (6 - x_2 + x_2 = 6).
    • (10 - y_2 + y_2 = 10).
  12. Simplify the equations:

    • (6 = 6).
    • (10 = 10).
  13. Since both equations simplify to true statements, any value of (x_2) and (y_2) that satisfies the original equations will work. This means (x) can be any real number, and (y) can be any real number.

Therefore, the values of (x) and (y) cannot be determined uniquely using the Midpoint Formula alone. They can take any real values.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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