Find the condition that the point (x,y) may lie on the line joining (1,2) and (5,-3).

Explanation

`therefore` As the points A,B,C are collinear we have area of the triangle ABC is 0.
`therefore` 1/2 {1(-3-y) + 5(y-2) + x(2+3)} = 0
or, -3-y+5y-10+5x = 0
or,5x + 4y = 13 .