A system of two linear equations is graphed. The lines have the same slope, but different intercepts. How many solutions does the system have?

Question

mathmale · Answer

Welcome to OpenStudy!
Why don't you actually try graphing two straight lines that have the same slope but different y-intercepts?

Then think about what "solution" means here.  What if two lines intersect?  We have one solution, the point of intersection.
What if one line is drawn on top of the other line (with the same y-intercept?
What if the two lines are drawn?  Will they intersect or not?  What's your conclusion?