Question #10e39

1 Answer
Oct 15, 2017

y=-1/2x+3

Explanation:

First, find the midpoint of the line segment.

((8+4)/2 , (4+(-4))/2)
=(6,0)

Then, find the gradient of the line segment color(purple)m.
(y_2-y_1)/(x_2-x_1)

=(-4-4)/(4-8)

=(-8)/-4

=2

So the gradient of the bisector is (-1)/color(purple)m = =(-1)/2

Using the Cartesian equation rArr y-y_1=m(x-x_1)

y-0=-1/2(x-6)
y=-1/2x+3