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?