SOLUTION: In the triangle with the vertices A(0,1),B(2,3),C(-1,4), find the equation of the median from B to midpoint of AC.

Algebra ->  Triangles -> SOLUTION: In the triangle with the vertices A(0,1),B(2,3),C(-1,4), find the equation of the median from B to midpoint of AC.       Log On


   



Question 1014702: In the triangle with the vertices A(0,1),B(2,3),C(-1,4), find the equation of the median from B to midpoint of AC.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the midpoint formulas with the coordinates of points A and C to find the coordinates of the midpoint of AC:

and



Then use the two-point form of a line to find an equation for the line through B and the midpoint of AC



where and are the coordinates of the given points.

John

My calculator said it, I believe it, that settles it