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If the points A (x,y), B (1,4) and C (-2...

If the points A (x,y), B (1,4) and C (-2,5) are collinear, then shown that x + 3y = 13.

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Given points are collinear
`therefore" ""Area of triangle"=0`
`implies" "1/2[x(4-5)+1(5-y)-2(y-4)]=0`
`implies" "-x+5-y-2y+8=0`
`implies" "x+3y=13`
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