Determine whether the following points are collinear: P(2, -5), Q(1, -3), R(-2, 3).

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: The points are collinear.

Slope \(=\dfrac{y_2-y_1}{x_2-x_1}\).

Slope of PQ = \(\dfrac{-3+5}{1-2}=-2\)

Slope of QR = \(\dfrac{3+3}{-2-1}=-2\)

The slopes are equal and the two segments share a point, so the points lie on one line.

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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