# Find the slope that is perpendicular to the line 9x+3y=0

Find the slope that is perpendicular to the line 9x+3y=0
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Quinn Hansen
Let's rewrite the equation
9x+3y=0
3y=−9x
y=−3x
The slope of a line with equation
y=mx+c
is =m
Here, we have m=−3
The slope of the line m' perpendicular to another line is
$mm\prime =-1$
$m\prime =-\frac{1}{m}=\frac{-1}{-3}=\frac{1}{3}$
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