# math

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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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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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