Discussion
The points A(1, 5), B(2, 3) and C(-2, 11) are:
Answer: A
Correct answer: Collinear
Three points lie on one line exactly when the slopes between them agree.
\[m_{AB} = \frac{3-5}{2-1} = \frac{-2}{1} = -2\]
\[m_{AC} = \frac{11-5}{-2-1} = \frac{6}{-3} = -2\]
Both segments have slope \(-2\) and share the point A, so A, B and C lie on a single straight line and cannot form a triangle of any kind. The line itself is \(y = -2x + 7\), and each of the three points satisfies it.
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