Answer: Yes, the points A, B and C are collinear.
Slope of AB \(= \dfrac{-5 - (-3)}{2 - 1} = \dfrac{-2}{1} = -2\).
Slope of BC \(= \dfrac{7 - (-5)}{-4 - 2} = \dfrac{12}{-6} = -2\).
The slopes of AB and BC are equal and B is a common point, so A, B and C lie on the same line; hence they are collinear.