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Question 709805: Write an equation of the line that is the perpendicular bisector of the line segment having endpoints (3,-1) and (3,5).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Write an equation of the line that is the perpendicular bisector of the line segment having endpoints (3,-1) and (3,5).
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slope of line thru given points: (5--1)/(3-3) = undefined
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Therefore slope of perpendicular bisector: m = 0
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Midpoint of given segment:
x = (3+3)/2 = 3
y = (-1+5)/2 = 2
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Midpoint is (3,2)
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If slope = 0, the line is a horizontal line thru (3,2)
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Equation of perp/bisector: y = 2
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Cheers,
Stan H.
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