Question

A system of two linear equations is graphed. The lines have the same slope, but different intercepts. How many solutions does the system have?. A. 0. B. 1. C. 2. D. infinite

Answer 1

If two linear equations have the same slope but only differ in the intercepts, it means that the lines are parallel. Having said that, the answer to the question above should be letter "A. 0" as these lines will never meet and will not have common points. 

Answer 2

Since the lines have the same slope, it means they are parallel.

Remember this is condition for parallel lines. 

Since the intercept are also different, hence the lines never crossed each other.

So there are no solutions.   0 solutions.

Option A.