Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By=C. (-3,7),(-4,-2)

Answer 1

Hey! Lets solve this shall we ?

First, we must find the slope using the slope formula m = (y2-y1) / (x2-x1).

Then, m = (-2-7) / (-4-(-3)) = -9 / -1 = 9

Then we use (-3,7) as (x1, y1) to plug into the point-slope formula

y - y1 = m(x - x1)

y - 7 = 9(x - (-3))................Distribute the 9 inside

y - 7 = 9x + 27.................Then add 7 to both sides

y = 9x + 34.................Now we put it into Standard form by subtracting 9x to the left side

-9x + y = 34

I hope this helped!