Question

Write the equation of a perpendicular bisector of the segment joining the points: (7,2) and (3,0).

Okay, so I don't even know what a bisector is. Is there a formula for this or something? If some could someone tell me it. Or tell me the process.

Answer 1

perpendicular bisector is a line that is perpendicular to a line segment (or line joining two points) and passes through the mid-point of the line segment.

For the given points A(7,2) and B(3,0),
the mid point D is given by:
D((7+3)/2, (2+0)/2)
=D(5,1)

The slope of line segment AB is
m=(3-7)/(0-2)
=2
The slope of the perpendicular bisector
= -1/m = -(1/2)
Line passing through D and perpendicular to segment AB is
y-5=-(1/2)(x-1)
Simplify and verify.

Answer 2

Wait wouldn't that last part be y-1=1/2(x-5)

because five is the midpoint of the x's

Answer 3

You're right!
Thanks for pointing it out.