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

dekkyrkex4
2022-10-10
Answered

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

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Quinn Hansen

Answered 2022-10-11
Author has **11** answers

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

$mm\prime =-1$

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

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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