Find the relation between X and Y if the points A (x, y) B (-5,7) and C (-4,5) are collinear
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If A, B, C are collinear then area of triangle ABC = 0.
Area of triangle = 1/2 |(x1(y2-y3)+x2(y3-y1)+x3(y1-y2)| where x1,x2,x3,y1,y2,y3 are coordinates of A,B,C.
= 1/2|(x(7 - 5) - 5(5 - y) -4(y - 7)| = 0
=> 2x - 25 + 5y - 4y + 28 = 0
∴ 2x + y + 3 = 0
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