Asked by katie 6
Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).
Answers
Answered by
Reiny
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
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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