Answer :

If the given points are collinear, then the area of triangle formed by these points will be 0

Area of the triangle = [x_{1} (y_{2} – y_{3}) + x_{2} (y_{3} – y_{1}) + x_{3} (y_{1} – y_{2})

= [x (2 – 0) + 1 (0 – y) + 7 (y – 2)

0 = (2x – y + 7y – 14)

2x + 6y – 14 = 0

x + 3y – 7 = 0

This is the required relation between *x* and *y*

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