Find a relation between x and y if the points A(x, y), B(-4, 6) and C(-2, 3)

Find a relation between x and y if the points A(x, y), B(-4, 6) and C(-2, 3) are collinear.

Answer

A, B, C are collinear.

ar (∆ABC) = 0

1/2 × [x(6 – 3) – 4(3 – y) – 2(y – 6)] = 0

3x + 2y = 0