Question

Find the equation of the perpendicular bisector of the line segment joining points (7,1) and (3,5).

Answer 1

Bisector passes through midpoint

Midpoint of (7,1) and (3,5) 

Perpendicular bisector has slope that is negative reciprocal of line segment joining points (7,1)and (3,5)

Slope of line segment

Perpendicular bisector has slope = 1 and passes through point (4,4)

Use point slope form

y-3=1(x-5)

y=x-2