# How do you find the slope perpendicular to 3x + 2y = -6?

Jul 7, 2015

Rewrite the equation into slope intercept form then use the fact that a line has a slope of $m$ then all perpendiculars to it will have a slope of $- \frac{1}{m}$

#### Explanation:

$3 x + 2 y = - 6$

$2 y = - 3 x - 6$

$2 y = - 3 \left(x + 2\right)$

$y = - \frac{3}{2} \left(x - \left(- 2\right)\right)$$\textcolor{w h i t e}{\text{XXXX}}$slope intercept form

Any line perpendicular to this will have a slope of $\frac{2}{3}$