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

I'll do one, you can do the other two.



Midpoint_AC is at  (  ,  ) or  (3,4)



Now the slope from this midpoint to vertex B is:   = -3



We can use  point-slope form    where ( ,  )   is any point on that line.



Using vertex B, and slope = -3:



   <--- point-slope form



If slope-intercept form is needed, move the 5 over:

    <--- slope-intercept form





The two others can be done similarly.