I have another one of those questions I'd like to double check.
What is the perpendicular bisector of the line between points (2,2) and (6,6)?
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, .
The equation of the bisecting line is:
Is my working and answer correct?
So I forgot to place the "-" signs where they were needed, effectively skipping a step.
I see why I was incorrect though, as -4+4 doesn't equal 8--it equals 0!
I have to present math working like that because it is the only way I understand what I'm saying!