Question 1127763: find the equation of the perpendicular bisect of AB given that A is (2,7) and B is (6,-1).
Answer by MathLover1(20855) (Show Source):
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find the equation of the perpendicular bisect of given that is ( , ) and is ( , ).
first find equation of a line passing through points
( , ) and ( , )
where is a slope and is y-intercept


....plug in ( , )
so,
recall that the perpendicular line will have a slope negative reciprocal to a slope of this line
so,
the perpendicular bisect of , we can find coordinates o midpoint of 
( , ) and ( , )
( , )
=>( , )
-> the perpendicular bisect is passing through ( , ), use it to find y-intercept



and equation is:
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