# What is the equation of a line that goes through (-6, 3) and has a slope of -2/3?

May 11, 2018

$y = - \frac{2}{3} x - 1$

#### Explanation:

Use

$y = m x + b$

Plug in the numbers

$3 = - \frac{2}{3} \left(- 6\right) + b$

Solve

$3 = 4 + b$

Subtract $4$ from both sides

$- 1 = b$

So

$y = - \frac{2}{3} x - 1$