# What is the equation of the line that is perpendicular to the line passing through #(-5,3)# and #(4,9)# at midpoint of the two points?

##### 1 Answer

#### Explanation:

The slope a line that is perpendicular to a given line would be the inverse slope of the given line

The formula for the slope of a line based upon two coordinate points is

For the coordinate points

The slope is

the perpendicular slope would be the reciprocal (-1/m)

To find the midpoint of the line we must use the midpoint formula

To determine the equation of the line use the point slope form

Plug in the midpoint in order to find the new equation.