Question 12 Marks

Verify, whether points, $A(1,-3)$, $B(2,-5)$ and $C(-4,7)$ are collinear or not.

Answer

Slope of line AB = $\frac{-5 - (-3)}{2 - 1} = \frac{-2}{1} = -2$
Slope of line BC = $\frac{7 - (-5)}{-4 - 2} = \frac{12}{-6} = -2$
Since slope of line AB = slope of line BC and point B is common, points A, B, and C are collinear.

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