# How do you write the equation in slope intercept form given 4x - 9y = -36?

Apr 8, 2016

$y = \frac{4}{9} x + 4$

#### Explanation:

The equation of the line in slope-intercept form is y = mx + c

Rearrange 4x - 9y = - 36 into this form.

hence : -9y = - 4x - 36

multiply through by -1 : 9y = 4x + 36

now divide both sides by 9.

$\Rightarrow \frac{\cancel{9 y}}{\cancel{9}} = \frac{4}{9} x + \frac{36}{9}$

$\Rightarrow y = \frac{4}{9} x + 4 \text{ is in slope-intercept form }$