A segment bisector is a line, ray, or segment that divides a line segment into two equal parts. In the triangle formed by points $A(-1,7)$, $B(1,2)$, and $C(7,6)$, what is the slope of the line that goes through point $A$ and bisects $BC$?
Midpoint of BC = [ ( 1 + 7) /2 , (6 + 2) / 2 ] = (4,4)
Call this point, M
So....the line through AM has a slope of
( 7 - 4) / ( -1 - 4) =
3 / -5 =
-3 / 5
