I have another one of those questions I'd like to double check.

Question:

What is the perpendicular bisector of the line between points (2,2) and (6,6)?

Working:

slope=

Since a perpendicular bisector has a reciprocal slope to the line it bisects, the slope of the bisector is

The midpoint of the bisected line is (4,4) as shown by the midpoint formula:

where

,

,

and

. I'll use the point-slope formula to find the line, so:

let,

,

, and slope=-1,

.

Answer:

The equation of the bisecting line is:

Is my working and answer correct?