How do you find the slope for 2x + 3y = 12?

Sep 11, 2015

The slope is $- \frac{2}{3}$.
Convert the given equation to the slope-intercept form by solving for $y$.

Explanation:

$2 x + 3 y = 12$ is the standard form for a linear equation. To determine the slope, solve the equation for $y$ in order to convert to the slope-intercept form $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

$2 x + 3 y = 12$

Subtract $2 x$ from both sides.

$3 y = - 2 x + 12$

Divide both sides by $3$.

$y = - \frac{2}{3} x + \frac{12}{3}$$=$

$y = - \frac{2}{3} x + 4$

The slope is $- \frac{2}{3}$