# What is the slope of any line perpendicular to the line passing through #(2,2)# and #(9,5)#?

##### 2 Answers

#### Answer:

The gradient of the perpendicular line is

#### Explanation:

The standard form equation for a straight line graph is:

Where

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

Let

Let

Then it follows that

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

Given that the first line had gradient

and that the gradient of the perpendicular line is

Then we have: