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

Jul 7, 2016

The slope is $\frac{3}{2}$ the intercept is $3$.

#### Explanation:

To find the slope and the intercept you have to put the equation in the form $y = m x + q$, then $m$ is the slope and $q$ is the intercept.

The first step is to keep the term with the $y$ on the left and the others on the right

$3 x - 2 y = - 6$

$- 2 y = - 3 x - 6$

and now we divide for the coefficient of $y$ that is $- 2$

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

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

The slope is $\frac{3}{2}$ the intercept is $3$.