The equation of the line that goes through the points (-1, -9) and (-3,6) can be written in general for A2 + By+C =0 where

Question

asked Aug 7, 2023 126k views

1 Answer

ScarletEnvy · Answer 1 · 2023-08-13T14:33:54+0000

Answer:

15x+2y+33=0

Explanation:

The slope of the line that goes through (-1, -9) and (-3, 6) is

(6-(-9))/((-3)-(-1))=(15)/(-2)

The slope of the line that goes through (-1, -9) and (x, y) is

(y-(-9))/(x-(-1))=(y+9)/(x+1)

So

$(y+9)/(x+1)=(15)/(-2)\\15(x+1)=-2(y+9)\\15x+15=-2y-18\\15x+2y+33=0$