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Question
Show that the given points are collinear: (– 3, – 4), (7, 2) and (12, 5)
Solution
The vertices are A(– 3, – 4), B(7, 2) and C(12, 5)
Slope of a line = `(y_2 - y_1)/(x_2 - x_1)`
Slope of AB = `(2 + 4)/(7 + 3) = 6/10 = 3/5`
Slope of BC = `(5 - 2)/(12 - 7) = 3/5`
Slope of AB = Slope of BC = `3/5`
∴ The three points A, B, C are collinear.
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