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Question
Determine whether the given point is collinear.
A (0, 2), B (1, -0.5), C (2, -3)
Solution
A (0, 2), B (1, -0.5), C (2, -3)
Slope of line AB = `("y"_2-"y"_1)/(x_2-x_1)`
= `(-0.5 - 2)/(1- 0)`
= `(-2.5)/1`
∴ Slope of line AB = -2.5 ...(1)
Slope of line BC = `(-3-(-0.5))/(2- 1)`
= `-2.5/1`
∴ Slope of line AB = -2.5 ...(2)
From (1) & (2)
So, the slope of AB = slope of BC.
Point B lies on both the lines.
Hence, the given points are collinear.
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