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- Find x so that the points (3,-2),(x,2)and (8,8) be on a line.(ans is x=5)

2.For what value of k the points (5,5),(k,1)and(11,7)are collinear(ans is k=-7)

Let A(*x*_{1}, *y*_{1}), B(*x*_{2}, *y*_{2}) and C(*x*_{3}, *y*_{3}) be three point. Then, A, B, C are collinear, if

1.

The given point are (3, – 2), (*x*, 2) and (8, 8). These point lie on a line. So, they are collinear.

Thus, the value of *x* is 5.

2.

The given point are (5, 5), (*k*, 1) and (11, 7) are collinear.

Thus, the value of* k* is – 7.

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