Question 202027: Please help me Find the equation of perpendicular bisector of line segment with endpoints (3,-5) and (6,4)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Please help me Find the equation of perpendicular bisector of line segment with endpoints (3,-5) and (6,4)
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The mid-point if [(3+6)/2,(-5+4)/2] = (4.5,0.5)
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The slope of the line thru the given points is (4--5)/(6-3)= 3
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The slope of every perpendicular line must be -1/3
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The form of the desired line is y = mx+b
From the mid-point you know y = 1/2 when x = 9/2,
And you know the slope is -1/3
So, 9/2 = (-1/3)*(1/2) + b
b = 4 2/3 or 14/3
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Equation:
y = (-1/3)x + (14/3)
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Cheers,
Stan H.
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