Different slopes, different y-intercepts

Question

Options are:

No solution

One solution

infinitely many solutions

Which one??

Answer 1

One solution if slopes are different, regardless of the y intercept being same or different

If the y intercepts had been the same with different slopes, the solution would be that y intercept, the point (0,b) or x=0, y=b= y intercept

but with different y intercepts, all you know is the solution for x is not zero.

Infinite solutions if the slopes are the same and the y intercepts are the same, because the two lines are the same line

Zero solutions if the slopes are the same and the y intercepts are different. That's two parallel lines