# Write an equation for the line passing through the given pair of points. Give the final answer in standard form. (-3,-1) (4,-4)

Write an equation for the line passing through the given pair of points. Give the final answer in standard form.

(-3,-1) (4,-4)

What is the equation of the line in standard form?

By: Tutor
5.0 (293)

Tutoring is my superpower! (she/her/hers) Annette F.

Just this once. Please do the work, and let me know if you don't understand it.

First, you need to find the slope using the equation m=(y2-y1)/(x2-x1).
So, m=(-4-(-1))/4-(-3))=(-4+1)/(4+3)=-3/7
Next, use the point-slope formula, with the value for m that you just found, to find an equation of this line: (y-y1)=m(x-x1)
So, (y-(-1))=-3/7(x-(-3))
(y+1)=-3/7(x+3)
Then, put the equation into the standard form of Ax+By=C, where A, B, and C are all integers.
So, if you multiply through by 7, you get:
7(y+1)=-3(x+3)
Distribute:
7y+7=-3x-9
Add 3x and subtract 7 on both sides to get:
3x+7y=-16
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09/29/16

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