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Slope of a Line

Prove that th...

Question

Prove that the points (1, 4), (4, 1) and lie on the same line.

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Solution

Let the given points be A (1, 4), B (4, 1) and C

For the points A, B and C to lie on the same line, the line joining the points A and B should pass through the point C. So, the slope of the line BC should be equal to the slope of the line AC.

Slope of line BC =

Slope of line AC =

⇒ Slope of line BC = Slope of line AC

Therefore, the points (1, 4), (4, 1) and lie on the same line.

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