Points A(0,0) and B(4,3) are fixed. A variable point P(x,y) moves in the plane such that the area of triangle ABP is zero.
(i) Derive the relation between x and y that the coordinates of P must satisfy.
(ii) Hence write the equation of the line through A and B.
(iii) Verify that the point Q(8,6) satisfies the relation obtained in part (i) and interpret this result geometrically.