# How do you rewrite the equation 2x + 3y = 6 in slope-intercept form?

May 6, 2016

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

#### Explanation:

Isolate $y$ on the left hand side of the equation as follows:

Given:

$2 x + 3 y = 6$

Subtract $2 x$ from both sides to get:

$3 y = - 2 x + 6$

Divide both sides by $3$ to get:

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

This is in slope intercept form:

$y = m x + c$

with slope $m = - \frac{2}{3}$ and ($y$) intercept $c = 2$.