math

Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

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asked by katie 6
  1. midpoint is ( (4+2)/2 , (1-5)/2 ) = (3,-2)

    slope for given points line = (1+5)/(4-2) = 3
    so slope of perpendicular is -1/3

    so y = (-1/3)x + b
    sub in (3,-2)
    -2 = (-1/3)(3) + b
    b = -1

    equation : y = (-1/3)x -1

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    posted by Reiny

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