Find the equation of the perpendicular bisector of the line segment joining points (7, 1) and (3, 5).
The points are A(7, 1) and B(3, 5).
Coordinates of midpoint of line AB = X = 
, Y = 
Therefore coordinates of midpoint of AB are (5, 3)
Slope of the line = 
= 
= 
= 2
Negative reciprocal of slope = 
Equation of line Y= mX+C
Since diagonals bisect each other at same point therefore quadrilateral is a parallelogram.
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