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Write an equation of the perpendicular bisector of the segment with endpoints M(1,5) and N(7,−1).

 Sep 24, 2021
 #1
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Write an equation of the perpendicular bisector of the segment with endpoints M(1,5) and N(7,−1).

 

Hello Guest!

 

The center of the given segment is \(P\ (\frac{7+1}{2},\frac{-1+5}{2})\) so \(P\ (4,2)\)

\(m=-\frac{x_2-x_1}{y_2-y_1}=-\frac{7-1}{-1-5} \)

\(m=1\)

Point-direction equation \(f(x)=m(x-x_P)+y_P\)

\(f(x)=1(x-4)+2\)

 

The equation of the perpendicular bisector of the segment with endpoints M(1,5) and N(7,−1) is \(f(x)=x-2\)

 

laugh  !

 Sep 24, 2021
edited by asinus  Sep 24, 2021

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