The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is
5x-4y+1=0
If three points lie on a line then the area of the triangle
formed by them is 0.
[x(4+6) + 3(-6 - y) -5(y-4)] = 0
10x - 18 - 3y - 5y +20 = 0
10x - 8y + 2 = 0
5x - 4y + 1 = 0