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

##### 2 Answers

#### Explanation:

the slope of the line passing through the given pts is

negative inverse of this slope will be the slope of the line perpendicular to the line joining the given pts.

Hence the slope is

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: