SOLUTION: Using the distance formula, determine whether the following points are collinear: A(0,4) B(7,-6) C(-5,11) I thought i had to find the distance between A and B, and then B and C,

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Question 259832: Using the distance formula, determine whether the following points are collinear:
A(0,4) B(7,-6) C(-5,11)
I thought i had to find the distance between A and B, and then B and C, and then A and C but I am not sure.

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
To determine colinear we need " slope" not distance. A(0,4) B(7,-6) C(-5,11)
The slope formula is

--
Using A and B we get
/
So, m = -10/7
--
Using A and C we get
/
So, m = -7/-5 = 7/5.
Since these are not the same, they are not colinear