# How do you find the equation in slope-intercept form of the line that is perpendicular to AB and passes through the midpoint of AB. Let A = (-6,2) and B = (4,-10)?

##### 1 Answer

#### Explanation:

The mid point is the mean value as you read left to right on the x-axis.

Point A

Point B

Let the mean point be

Let the gradient of the line between

Note that the gradient of the perpendicular line will be

We read from

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Thus

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Found that

We know that this passes through the point

So by substitution into