Question

Show that the points (7, -2), (2, 3) and (-1, 6) are collinear.

Answer 1

The points (7, -2), (2, 3) and (-1, 6) are collinear

Solution:

Given that, we have to find whether the points are collinear or not

Let the points are:

$A(7, -2) = (x_1, y_1)\\\\B(2, 3) = (x_2, y_2)\\\\C(-1, 6) =(x_3, y_3)$

In order to test if they are collinear we should test the validity of the following expression:

$(y_2-y_1)(x_3-x_2)=(y_3-y_2)(x_2-x_1)\\\\(3-(-2))(-1-2) = (6-3)(2-7)\\\\5 \times -3 = 3 \times -5\\\\-15 = -15$

Thus the given points are collinear

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Answer 2

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