Posted by Butch on .
Write an equation in point slope form for the perpendicular bisector of the segment with endpoints A(3,3) and B(5,6)

Geoemetry 
Henry,
A(3,3), M(x,y), B(5,6).
x = (3+5) / 2 = 1.
y = (3+6) / 2 = 1 1/2 = 3/2.
The slope of a straight line is the same at all points on the line.
m = (6(3)) / (5(3)) = 9/8.
m2 = 8/9 = Negative reciprocal of m.
(1,3/2),(x,y),
m2 = (y3/2) / (x1) = 8/9,
Cross multiply:
y3/2 = 8/9(x1). 
Geoemetry 
Jacksom,
write an equation in pointslope form for the perpendicular bisector of the segment with the given end points M(5,4),N(1,2)