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By using the concept of equation of a li...

By using the concept of equation of a line, prove that the three points `(3, 0)`, `( -2, -2)`and `(8, 2)`are collinear.

Text Solution

Verified by Experts

In order to show that the points `(3, 0), (- 2, - 2) and (8, 2)` are collinear, it suffices to show that the line passing through points `(3, 0) and (- 2, - 2)` also passes through point `(8, 2).`
The equation of the line passing through points `(3, 0)` and `(- 2, - 2)` is
`(y - 0) = (-2 - 0)/(- 2 - 3) (x - 3)`
`y = (- 2)/(- 5) (x - 3)`
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Knowledge Check

  • If the points A(-2,-5), B(2,-2) and C(8,a) are collinear , then a =

    A
    `-5//2`
    B
    `5//2`
    C
    `3//2`
    D
    `1//2`

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