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

##### 1 Answer

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

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

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

This is equal to

So the slope of the perpendicular line is