# How do you find the slope of 2y+3x=-6?

May 9, 2015

Write the equation in slope-intercept form: $y = m x + b$, where $m$ is the slope, and $b$ is the y-intercept.

$2 y + 3 x = - 6$

Subtract $3 x$ from both sides.

$2 y = - 3 x - 6$

Divide both sides by $2$.

$y = \frac{- 3 x}{2} - \frac{6}{2}$ =

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

The slope, $m$, is $- \frac{3}{2} x$ .