Perpendicular Bisectors: General question

by **Guest** Tue Jan 06, 2009 5:02 pm

Perpendicular bisectors always have a negetive slope with the line it is bisecting. What happens when the x or y axis is the perpendicular bisector of another line? If I have a line BC with slope -1, where x-axis is the perpendicular bisector of BC, and B is ( 3,2) what is C?

Thanks

by **JonathanSchneider** Wed Jan 07, 2009 1:04 pm

The X-axis has a slope of 0.
The Y-axis has "no slope" or "undefined" slope.
The axes are perpendicular bisectors of each other.

You cannot have a line with a slope of -1 for which the X-axis is the perpendicular bisector.

You sound like you're quoting from an OG question. Go back and check that question, though - you'll see that the original line is AC, not BC.