Show by section formula that the points (3, -2), (5, 2) and (8, 8) are collinear.
Section Formula
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Question

Show by section formula that the points (3, -2), (5, 2) and (8, 8) are collinear.

KnowledgeBoat · Accepted Answer

Let the point (5, 2) divides the line joining the points (3, -2) and (8, 8) in the ratio m₁ : m₂. By section formula the x-coordinate of dividing points is given by Putting values we get, By section formula the y-coordinate of dividing points is given by Putting values we get, Since, we get ratio m₁ : m₂ from both the equations it means that the point (5, 2) lies on the line joining the points (3, -2) and (8, 8). Hence, proved that the points (3, -2), (5, 2) and (8, 8) are collinear.

Mathematics

Show by section formula that the points (3, -2), (5, 2) and (8, 8) are collinear.

Section Formula

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