# What is the slope of the line perpendicular to #y=5/2x-9 #?

##### 1 Answer

Feb 24, 2016

Remember that the slope of a perpendicular line is the **NEGATIVE RECIPROCAL** of another line.

From the line that we are given, we can see that the slope is clearly

So, now we just take the negative reciprocal.

A reciprocal is just flipping the fraction upside down

So we have

But we must also remember the negative!!

So the slope of our perpendicular line is