find the relation between x and y if points A( x,y), B (-5,7) and
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It is given that the points A (x, y), B (-5, 7) and C (-4, 5) are collinear.
∴ Area of triangle, ABC = 0
⇒ 1/2 [x (7 - 5) + (-5) (5 - y) + (-4) (y -7)] = 0
⇒ 2x - 25 + 5y - 4y + 28 = 0
⇒ 2 x + y + 3 = 0
This is the required relation between x and y.
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