Prove that the line through A(–2, 6) and B(4, 8) is perpendicular to the line through C(8, 12) and D(4, 24).
Straight Line Eq
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Question

Prove that the line through A(–2, 6) and B(4, 8) is perpendicular to the line through C(8, 12) and D(4, 24).

KnowledgeBoat · Accepted Answer

The slope of the line passing through two points (x1, y1) and (x2, y2) is given by Slope = Slope (m1) of line joining (-2, 6) and (4, 8) is, = Slope (m2) of line joining (8, 12) and (4, 24) is, = m1 × m2 = = -1. Product of slopes = -1. Hence, the lines are perpendicular to each other.

Mathematics

Prove that the line through A(–2, 6) and B(4, 8) is perpendicular to the line through C(8, 12) and D(4, 24).

Straight Line Eq

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