# What is the slope of the line perpendicular to y=-3/2x+15 ?

Mar 4, 2016

The slope of a perpendicular line is equal to the negative reciprocal of the slope of the given equation

We know that the slope of this equation is $- \frac{3}{2}$

So, we take the reciprocal, which means that we flip the fraction over

$- \frac{2}{3}$

But we take the negative reciprocal, so we add a negative sign

$- \left(- \frac{2}{3}\right)$

This is equal to $\frac{2}{3}$

So the slope of the perpendicular line is $\frac{2}{3}$