# Find the slope of any line perpendicular to the line passing through (−9,35) and (2,2)

Find the slope of any line perpendicular to the line passing through (−9,35) and (2,2)
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

vacchetta7k
MathJax(?): Can't find handler for document MathJax(?): Can't find handler for document calculate the slope m using the gradient formula
$•xm=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$
$\text{let}\phantom{\rule{1ex}{0ex}}\left({x}_{1},{y}_{1}\right)=\left(-9,35\right)\phantom{\rule{1ex}{0ex}}\text{and}\phantom{\rule{1ex}{0ex}}\left({x}_{2},{y}_{2}\right)=\left(2,2\right)$
$m=\frac{2-35}{2-\left(-9\right)}=\frac{-33}{11}=-3$
Given a line with slope m then the slope of a line perpendicular to it is
${m}_{\text{perpendicular}}=-\frac{1}{m}$
${m}_{\text{perpendicular}}=-\frac{1}{-3}=\frac{1}{3}$