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Prove that points (2,-2),(-3,8),(-1,4) are collinear.

Question

Prove that points $(2, - 2), (- 3, 8), (- 1, 4)$ are collinear.

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Prove that points

(2, - 2), (- 3, 8), (- 1, 4)

are collinear.

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Text solutionVerified

Slope of the line joining by the points

(2, - 2), (- 3, 8) = \frac{8 + 2}{- 3 - 2} = \frac{10}{- 5} = - 2

Slope of the line joining by the points

(- 3, 8), (- 1, 4) = \frac{4 - 8}{- 1 + 3} = \frac{- 4}{2} = - 2

Sloap of both the line is same.

Hence,

(2, - 2), (- 3, 8), (- 1, 4)

are collinear.

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Question Text	Prove that points $(2, - 2), (- 3, 8), (- 1, 4)$ are collinear.
Answer Type	Text solution:1
Upvotes	150