Question

Determine whether the given points are collinear. (1) A(0,2) , B(1,-0.5), C(2,-3)

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Answer 1

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Determine whether the given points are collinear.

A(0,2) B(1,-0.5) C(2,3)

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A(0,2), B(1,-0.5), C(2,-3)

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• Slope of AB =

$\frac{ - 0.5 - 2}{1 - 0} = \frac{ - 2.5}{1} = - 2.5$

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• Slope of BC =

$\frac{ - 3 - ( - 0.5)}{2 - 1} = \frac{ - 2.5}{1} = - 2.5$

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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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Answer 2

answer is already given ✅✅