Question

verify whether the points (-2,3) (4,2) (10,1) are collinear or not
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Answer 1

If they are collinear they must have same slope(or you can say, they lie on the same line).

Slope of (-2, 3) and (4,2)= (y₂ - y₁)/(x₂ - x₁)

              ⇒ (3 - 2)/(-2 - 4)

              ⇒ - 1/6

Slope of (-2, 3) and (10,1)= (y₂ - y₁)/(x₂ - x₁)

              ⇒ (3 - 1)/(- 2 - 10)

              ⇒ 2/(-12)

              ⇒ - 1/6

As both are same, they are collinear.