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?
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.