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.
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:
The slope of line segment AB is
The slope of the perpendicular bisector
= -1/m = -(1/2)
Line passing through D and perpendicular to segment AB is
Simplify and verify.
Wait wouldn't that last part be y-1=1/2(x-5)
because five is the midpoint of the x's
Thanks for pointing it out.