Question

Write an equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1). HELP!!!!!

Answer 1

The equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1) is y = x + 8

Equation of a line

The equation of a line in slope intercept form is expressed as;

y = mx + b

The equation of the perpendicular bisector will be given as y = -1/m x+ b

where

m is the slope

b is the y-intercept

Determine the slope

Slope = -1-5/9-3

Slope = -6/6

Slope = -1

For the y-intercept

-1 = -1(9) + b

-1 = -9 + b

b = 8

Determine the equation

y = -1/m x + b

y = -1/(-1) x + 8

y = x + 8

Hence the equation of the perpendicular bisector of the segment with the endpoints (3,5) and (9,−1) is y = x + 8

Learn more on equation of perpendicular bisector here: brainly.com/question/11006922

#SPJ1