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# help math

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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

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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 $$f(x)=x-2$$

!

Sep 24, 2021
edited by asinus  Sep 24, 2021