# A line passes through #(2 ,8 )# and #( 7, 2 )#. A second line passes through #( 6, 1 )#. What is one other point that the second line may pass through if it is parallel to the first line?

One other point on Line CD is

Slope of AB = Slope of CD =

Equation of line CD is

Let x = 1. Then y = (41 - 6)/5 = 7#

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Since the second line is parallel to the first line, it will have the same slope as the first line. To find the slope of the first line, use the formula:

slope = (change in y) / (change in x)

For the first line, between points (2, 8) and (7, 2): slope = (2 - 8) / (7 - 2) = -6 / 5

Now, apply this slope to the point (6, 1) to find a point on the second line: Using the slope-intercept form of a line, which is y = mx + b, where m is the slope: 1 = (-6/5)(6) + b 1 = -36/5 + b b = 1 + 36/5 b = 41/5

So, the equation of the second line is y = (-6/5)x + 41/5.

Now, to find another point on this line, choose any value for x and solve for y. For simplicity, let's choose x = 0: y = (-6/5)(0) + 41/5 y = 41/5

Therefore, another point on the second line is (0, 41/5).

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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.

- A line passes through #(6 ,2 )# and #(6 ,7 )#. A second line passes through #(3 ,8 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- Circle A has a center at #(5 ,-2 )# and a radius of #2 #. Circle B has a center at #(4 ,6 )# and a radius of #4 #. Do the circles overlap? If not what is the smallest distance between them?
- What is the line of intersection between the planes #3x+y-4z=2# and #x+y=18#?
- Circle A has a center at #(9 ,-2 )# and a radius of #4 #. Circle B has a center at #(-2 ,6 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?
- What is the perimeter of a triangle with corners at #(1 ,4 )#, #(5 , 2 )#, and #(9 ,7 )#?

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