Equation of a Perpendicular BisectorNov 30,9:58:45 PMWatch help video?Find an equation for the perpendicular bisector of the line segment whose endpointsare (-2,7) and (-8, -3).Answer:Submit Answerattempt

RandomQuests asked Oct 24, 2023

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RandomQuests asked Oct 24, 2023

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5 votes

First we are gonna calculate the slope

$\begin{gathered} m=(-3-7)/(-8+2) \\ m=(-10)/(-6) \\ m=(5)/(3) \end{gathered}$

Now, we are gonna calculate the midpoint

$\begin{gathered} ((-2-8)/(2),(-3+7)/(2)) \\ ((-10)/(2),(4)/(2)) \\ (-5,2) \\ \end{gathered}$

Equation

$\begin{gathered} y-2=-(3)/(5)(x+5) \\ y-2=-(3)/(5)x-3 \\ y=-(3)/(5)x-3+2 \\ \\ y=-(3)/(5)x-1 \end{gathered}$

Sener answered Oct 30, 2023

by Sener

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