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How do you write an equation in standard form given point (1,3) and (-3,-5)?

Answer 1

Eva Adamson

#y=2x+1#

First, find the slope with #(y_2-y_1)/(x_2-x_1):# #(-5-3)/(-3-1)##=##(-8)/-4##=##2#

Next, use the equation #y-y_1##=##m(x-x_1)# to plug in #x# and #y# values: #y-3=2(x-1)#

Simplify: #y-3=2x-2# #-># #y=2x+1#

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Answer 2

Julia Adams

To write an equation in standard form given two points, (1, 3) and (-3, -5), you first find the slope using the formula:

(m = \frac{{y_2 - y_1}}{{x_2 - x_1}})

Substitute the coordinates of the points into the formula:

(m = \frac{{-5 - 3}}{{-3 - 1}})

Then calculate the slope:

(m = \frac{{-8}}{{-4}} = 2)

Once you have the slope, you can use either of the points along with the slope to write the equation in point-slope form:

(y - y_1 = m(x - x_1))

Let's use the point (1, 3):

(y - 3 = 2(x - 1))

Next, distribute 2:

(y - 3 = 2x - 2)

Now, move (2x) to the left side:

(y - 2x = -2 + 3)

Combine like terms:

(y - 2x = 1)

Therefore, the equation in standard form is:

(2x + y = 1)

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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.