# How do you write the equation of the perpendicular bisector of the segment with the given endpoints #(2,5)# and #(4,9)#?

##### 2 Answers

The equation is

#### Explanation:

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)

Segment's slope

Perpendicular line's slope

Equation of perpendicular line passing through point M

#### Explanation:

Let

Clearly, dist.

Since, this relation holds for any, and, hence for every pt. on the