# How do you write x + 4y = -6 into slope intercept form?

Aug 7, 2015

$y = - \frac{1}{4} x - \frac{3}{2}$

#### Explanation:

Subtract $x$ from both sides
$4 y = - 6 - x$

Rewrite
$4 y = - x - 6$

Divide both sides by $4$
$y = \frac{- x - 6}{4}$

Rewrite
$y = - \frac{1}{4} x - \frac{6}{4}$

Reduce $\frac{6}{4}$

$y = - \frac{1}{4} x - \frac{3}{2}$