Show that the line joining the points A(4, 8) and B(5, 5) is parallel to the line joining the points C(2, 4) and D(1, 7).

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: Both lines have slope -3, so line AB ∥ line CD.

Slope of AB \(=\dfrac{5-8}{5-4}=-3\). Slope of CD \(=\dfrac{7-4}{1-2}=-3\).

Lines with equal slopes are parallel. (They are distinct lines because slope of AC \(=\dfrac{4-8}{2-4}=2\ne-3\).)

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

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