The points A ( -2 , 3 ), B ( 6 , -5 ), and C ( 8 , 5 ) are the vertices of a triangle. Find the equations of the three medians

Question

(a line segment joining a vertex and the midpoint of the opposite side)

Answer 1

find the coordinates of the midpoint of each side of the triangle

then find the slope of the median to that side

then find the y-intercept

I'll do the median to AB and you do the other two.

(-2+6)/2, 3+(-5)/2

4/2, -2/2

(2,-1) is the midpoint of AB

find the slope of that median

use (8,5) and (2,-1)

(5-[-1])/(8-2)=6/6=1

y=mx+b

m=1

y=x+b

use either point and slope-intercept form or point-slope form to find b

5=8+b

b=5-8

b=-3

y=x-3 is the equation for the median to AB

follow the same procedure for the other two medians