Write an equation of the perpendicular bisector of the segment with the endpoints A(-2,-2) and B(6,0).

emancipezN

emancipezN

Answered question

2021-01-05

Create an equation for the segment's perpendicular bisector, which has endpoints A(-2,-2) and B. (6,0).

Answer & Explanation

ensojadasH

ensojadasH

Skilled2021-01-06Added 100 answers

AB has a midpoint of ((2+62),2+62)=(2,1). The slope of AB is y2y1x2x1=6(2)6(2)=28=14 so the slope of its perpendicular bisector is -4. Using point slope form of a line, the equation of the perpendicular bisector of AB is:
yy1=m(xx1)
y(1)=4(x2)
y+1=4x+8
y=4x+7

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