Answer
They cannot have the same $y$-intercept because they are two distinct parallel lines.
If they have the same $y$-intercept, then they are the same (non-distinct) line.
Work Step by Step
Two distinct lines with the same slope are parallel to each other except when they also have the same $y$-intercept. If they have the same slope and $y$-intercept, then the lines are no longer distinct.
