SOLUTION: If A(-1,-7) B(2,2) C(4,8), show that C lies on AB. So I found that the general equation of AB is 3x-y-4=0, then how do you prove that C lies on AB from that? Thanks!

Algebra ->  Formulas -> SOLUTION: If A(-1,-7) B(2,2) C(4,8), show that C lies on AB. So I found that the general equation of AB is 3x-y-4=0, then how do you prove that C lies on AB from that? Thanks!      Log On


   

Question 1038476: If A(-1,-7) B(2,2) C(4,8), show that C lies on AB.
So I found that the general equation of AB is 3x-y-4=0, then how do you prove that C lies on AB from that? Thanks!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Slopes! All three slopes should be equal.
AB, BC, CA, slopes of each, congruent.