Answers: B and D
If the slopes are different, then the lines are non-parallel and they are also distinct from each other. The lines will cross at exactly one point. This point of intersection is the solution to the system of equations. In other words, the point lies on both lines at the same time.
Note: choices A and C will lead to parallel lines that have no solutions. This is because the slopes are the same but the y intercepts are different.
