# Find the slope perpendicular to 2x+3y=6

Find the slope perpendicular to 2x+3y=6
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illpnthr21vw
First find the slope of your given line changing the form of your equation isolating y in it:
$y=-\frac{2}{3}x+\frac{6}{3}$
$y=-\frac{2}{3}x+2$ which is in the y=mx+c form called: Slope-Intercept form;
The slope m will be the coefficien of x, i.e., $m=-\frac{2}{3}$.
The perpendicular will have slope $m=-\frac{1}{m}$ or:

$m=-\frac{1}{-\frac{2}{3}}=\frac{3}{2}$