Posted by **Kendra** on Thursday, August 26, 2010 at 10:25pm.

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.

- Algebra Help -
**MathMate**, Thursday, August 26, 2010 at 10:31pm
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.

- Algebra Help -
**Kendra**, Thursday, August 26, 2010 at 10:35pm
Wait wouldn't that last part be y-1=1/2(x-5)

because five is the midpoint of the x's

- Algebra Help -
**MathMate**, Thursday, August 26, 2010 at 11:30pm
You're right!

Thanks for pointing it out.

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