Question

Write an equation of the line that passes through a pair of points:
(-3,1). (-2,-5)

Answer 1

`y=-6x-17` (B)

Explanation:

`y=mx+b\\m=(y_(2)-y_(1) )/(x_(2) -x_(1) ) = (1--5)/(-3--2) = (6)/(-1) = -6\\y=-6x+b\\`

Plug in one of the two points for X and Y

(-3,1)

`1=-6(-3)+b\\1=18+b\\b=-17\\\\y=-6x-17`