SOLUTION: Are these 3 points the vertices of a right triangle (-9,5), (-7,9), (-5,8). I answered no but not sure if I am doing it right. Also are these 3 points Collinear (-7,0), (-2,4),

Question 1031395: Are these 3 points the vertices of a right triangle (-9,5), (-7,9), (-5,8).
I answered no but not sure if I am doing it right.
Also are these 3 points Collinear (-7,0), (-2,4), (-11,-5)
I answered no on that one also.
Can you explain how you got your answer so I know how to do it please.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let the points be P(-9,5), Q(-7,9), R(-5,8).
==> Line PQ has slope
Line QR has slope , and line PR has slope .
Sonce , it follows that line PQ is perpendicular to line QR, and the vertices form a right triangle.
As for the points (-7,0), (-2,4), (-11,-5), they are NOT collinear, because the area of the triangle formed by these points is not equal to 0. (If so, they would be collinear.)
Area = .

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