1. Perpendicular and Angle Bisectors
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The perpendicular bisector of a segment is the perpendicular through its midpoint.
y=- x-2
We have to find the equation of the perpendicular bisector of the segment whose endpoints are (-1,-5) and (3,-1). We will do this in three steps.
Let's go for it!
Substitute ( -1,-5) & ( 3,-1)
a+(- b)=a-b
Add and subtract terms
Calculate quotient
Substitute ( -1,-5) & ( 3,-1)
a-(- b)=a+b
Add terms
a/a=1
Substitute values
Distribute - 1
a-(- b)=a+b
LHS-3=RHS-3