The points are $A(-3,7)$, $B(1,1)$ and $C(5,-4)$. A pupil claims that the points are collinear

Question

The points are $A(-3,7)$, $B(1,1)$ and $C(5,-4)$. A pupil claims that the points are collinear because both segments fall from left to right. Determine whether the claim is correct, giving a calculation to support your answer.[3]

Accepted Answer

Not collinear: $m_{AB}=-\dfrac32\ne-\dfrac54=m_{BC}$.

Checking collinearity

Checking collinearity

Solution:

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