Let us consider two planes with equations: P1 : x + 2y + 3z = 3 and P2 : 2x-y = 5 By substituting x as 0, can I say that the point (0,-5,13/3) lies on the line of intersection of two planes? And if if find that the direction vector of the line of intersection is (3,5,-5), Can i say that the equation of the line of intersection of two planes is (0,-5,13/3) + t(3,5,-5) ?