Question

What is the equation, in point-slope form, for the line with a slope 2/3 that passes through the point (-5,-8)

Answer 1

y = 2/3 x - 14/3

`y = (2)/(3) x - (14)/(3)`

Explanation:

`y = mx + b \\ m \: is \: slope \\ b \: is \: y \: intercept`

with point (-5,-8) & slope = 2/3 fill in and solve for b

-8 = (2/3) (-5) + b

-8 = (-10/3) + b

-14/3 = b