Given: points be A (-2, 2), B (8, 2) and C(3,0).

To prove:

Points (- 2, - 2), (8, 2) and (3, 0) are collinear.

Explanation:

The equation of the line passing through A (-2,-2) and B (8, 2) is

Formula used:

⇒ 5y + 10 = 2x + 4

⇒ 2x – 5y – 6 = 0

Clearly, point C (3, 0) satisfies the equation 2x – 5y – 6 = 0

Hence Proved, the given points are collinear.