Answer:

Explanation:
Slope of the line segment = [(-8)-(-2)]/[(-9)-3]=-6/-12=1/2
Slope of the perpendicular bisector x slope of line segment = -1
Slope of perpendicular bisector = -2
Mid-point of line segment = ((-9+3)/2, (-8+(-2))/2) = (-3, -5)
The perpendicular bisector passes through the mid-point.
By point-slope form,
