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The perpendicular bisector of the line segment \(\overline{AB}\) is the line that passes throught the midpoint of \(\overline{AB}\) and is perpendicular to \(\overline{AB}\).

Find the equation of the perpendicular bisector of the line segment joining the points (1, 2) and (7, 4). Enter your answer in the form y=mx+b

thanks in advance

 Mar 6, 2021
 #1
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First find the midpoint    4, 3

Find the slope    (2-4)/(1-7) = -2/-6 = 1/3

   perpindicular slope = -1 / 1/3   = -3

 

point slope      (y-3) = -3(x-4)       Re-arrange to get to y = mx + b form   

 Mar 6, 2021

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