Question 986102: A(2;3),b(-2;-1) and c(-3;-2).show that these points are collinear
Answer by Timnewman(323)   (Show Source):
You can put this solution on YOUR website! Hi dear,
Three points are said to be colinear if their gradients are equal.
I.e,If the gradient of AB=BC=AC then they are colinear,
Here is the working:
Gradient of AB=(-1-3)/(-2-2)
=-4/(-4)
=1
Gradient of AC=(-2-3)/(-3-2)
=(-5)/(-5)
=1
Gradient of BC= (-2+1)/(-3+2)
=(1)/(1)
=1
From the above,
Their gradients are equal so they are colinear.
HOPE THIS HELPS:
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