Posted by Kendra on .
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,
perpendicular bisector is a line that is perpendicular to a line segment (or line joining two points) and passes through the midpoint 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=(37)/(02)
=2
The slope of the perpendicular bisector
= 1/m = (1/2)
Line passing through D and perpendicular to segment AB is
y5=(1/2)(x1)
Simplify and verify. 
Algebra Help 
Kendra,
Wait wouldn't that last part be y1=1/2(x5)
because five is the midpoint of the x's 
Algebra Help 
MathMate,
You're right!
Thanks for pointing it out.