Answer:
[tex]y=-2x-11[/tex]
Step-by-step 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,
[tex]\frac{y-(-5)}{x-(-3)} = -2\\y+5=-2x-6\\y=-2x-11[/tex]
