Answer:
is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
Step-by-step explanation:
The endpoints:
Calculating the Midpoint M of BC:


The Midpoint M of BC 

Calculating the slope of BC:




Given a line with slope
then the slope of a
line perpendicular to it is:

Equation of line using point-slope form

Therefore,
is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).