Hi all just wondered if anyone could tell me if my answers are right. They seem right but when I try to solve the simultaneous equation later they don't work.
So I had 3 points A(-7,4), B(-5,-2) and C(1,4)
To find the equation for the bisector of line AB I found the slope of the bisector to be 1/3, the midpoint to be (-6,1) and the equation of the bisector to be y=1/3x-3.
For the line BC I found the slope of the bisector to be -1, the midpoint to be (-2,1) and the equation of the bisector to be y=-1x+1.
Plotting them all the points on a graph they seem to work well. Only on trying to find the intersection of the bisector by having 1/3x-3=-1x+1 it all went a bit wrong. Estimating from the graph the point of intersection should be (-3,2). But I can't pull those answers out of the simultaneous equation.
So either I got the equations for the bisectors wrong, or I am doing the simultaneous equations wrong.
As always I really appreciate a nudge in the right direction.