How do you write the equation of the perpendicular bisector of the segment with the given endpoints #(2,5)# and #(4,9)#?
The equation is
To to that you should find the middle point (M), the segment's slope, the perpendicular's slope and finally the equation of the line with slope perpendicular to the segment and passing through M.
Middle Point M
=> M (3,7)
Perpendicular line's slope
Equation of perpendicular line passing through point M
Since, this relation holds for any, and, hence for every pt. on the