Question

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

Answer 1

`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`