# Let us write by calculation whether the three points O (0, 0), A(4, 3) and B(8, 6) are collinear.

We have O (0, 0)

A (4, 3)

B (8, 6)

The distance of a point (x,y) from origin is given as , so

OA   = 5

and OB   = 10

We know that distance between two points (x1, y1) and (x2, y2) is given by .

Using the above distance formula,

AB    = 5

We find that,

OA + AB = 5 + 5 = 10 = OB

The points A, B and C are collinear.

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