# How do you find the slope parallel to -9x = -6y + 18?

Apr 16, 2018

$\frac{3}{2}$

#### Explanation:

Rearrange so that it is in the form $y = m x + c$

$- 9 x = - 6 y + 18$

Add $6 y$ to both sides

$- 9 x + 6 y = 18$

Add $9 x$ to both sides

$6 y = 9 x + 18$

Divide both sides by 6

$y = \frac{9}{6} x + \frac{18}{6}$

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