# What is the slope of any line perpendicular to the line passing through #(15,-12)# and #(24,27)#?

##### 2 Answers

#### Explanation:

Let the slope of the line passing through the given points be

Let the slope of the line perpendicular to the line passing through the given points be

Then

Hence, the slope of the required line is

The slope of any line perpendicular to the given one is:

#### Explanation:

The trick is to just remember that if the gradient of the first line is

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let

Then

Given that

We have:

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let

Then