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

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

$ \frac{1}{2} [x(6 – 3) – 4(3 – y) – 2(y – 6)] = 0 $

$ 3x + 2y = 0 $

• Exam Year: 2019