Question

The graph of a system of equations with the same slope will have no solutions.

Always

Sometimes

Never

Answer 1

always, unless both equations are the same.

Answer 2

By technicality, there exists the possibility that the graphs can have the same slope and still be the same exact graph expressed in a different form, therefore the answer to this is "sometimes", at least it appears to be since the next question you asked made the distinction of stating something like "systems of parallel lines"