Question 1017113: Find the equation, is slope-intercept form, of the perpendicular bisector of the segment joining the points (5, 2) and (1, -4).
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! .
The slope of the given segment:
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Slope of segment=(-4-2)/(1-5) = -6/-4 = 3/2
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The slope of the perpendicular bisector is
the negative reciprocal.
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Slope of perpendicular bisector= -2/3
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The perpendicular bisector goes through the midpoint
of the given segment:
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Midpoint of given segment= ((5+1)/2, (2+-4)/2)=(2,-1)
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For x=2, y=-1, and m=-2/3, find b:
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y=mx+b
-1=(-2/3)(2)+b
-1=-4/3+b
1/3=b
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Equation in slope intercept form:
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m=-2/3, b=1/3
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ANSWER: 
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