# How do you find the slope given -2x-3y = -2?

Jul 12, 2016

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

#### Explanation:

$- 2 x - 3 y = - 2$ is written in the standard form for a linear equation, which is $\text{A"x+"B"y"=""C}$. To find the slope, convert the standard form to the slope-intercept form by solving the standard form for $y$. The slope-intercept form is $y = m x + b$, where $m$ is the slope.

Solving for $y$.

$- 2 x - 3 y = - 2$

Add $2 x$ to both sides of the equation.

$- 3 y = 2 x - 2$

Divide both sides by $- 3$.

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

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

graph{y = -2/3x+2/3 [-10, 10, -5, 5]}