Is their any shortcut formula to find the point of intersection of any two linear lines?

Use the procedures (one of them) for two equations with two unknowns. Either eliminate one of the terms through addition or subtraction of the two equations (put them on top of each other, and multiply the whole of one of the equations, both sides, by a number that will give you the same prefix for the same term in the other equation. (If one has 2y and the other has 4y, multiply all the terms in the first equation by two. Then you have 4y in both equations, and you use subtraction to eliminate the y's altogether. Then solve for X. Then, put the x value back into one of the original equations to solve for y. That point should work for both original equations. If it does (test them) that means the point is on both lines. They intersect there!