Prove that for all points on the line joining the origin and the point (4, 2) the x-coordinates is double the y-coordinates. What is the equation of this line?

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Solution

The equation of a line passing through points (x₁, y₁) and (x₂, y₂) is given by:

The equation of the line passing through the points (0, 0) and (4, 2) is:

⇒ 4y = 2x

⇒ 2y = x

This is the equation of the line passing through the points (0, 0) and (4, 2).

Observing the equation, we can say that the x-coordinate of all the points on the line joining the given points is double the y-coordinate.

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