Determine whether the points $L (2, 5), M (3, 3),$ $N (5, 1)$ are collinear.

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Solution

L(2,5),M(3,3),N(5,1)
Slope of LM = $\frac{3 - 5}{3 - 1} = \frac{- 2}{1} = - 2$
Slope of MN = $\frac{1 - 3}{5 - 3} = \frac{- 2}{2} = - 1$
Slope of LM is not equal Slope of MN.
Thus, the given points are not collinear.

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