# How do you put 2x-3y=6 in slope intercept form?

Jul 26, 2018

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

#### Explanation:

Recall slope-intercept form

$y = m x + b$, with slope $m$ and $y$-intercept of $b$.

We essentially just want a $y$ on the left side, so let's subtract 2x# from both sides to get

$- 3 y = - 2 x + 6$

Lastly, let's divide both sides by $- 3$ to get

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

Our equation is now in slope-intercept form, where the slope is $\frac{2}{3}$ and our $y$-intercept is $- 2$.

Hope this helps!