Question

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 1 out of 3 / problem 1 out of max 1Privacy PolicyTerms of Service

Answer 1

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}`