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

anonymous · Answer

They have no solutions because they're parallel lines

anonymous · Answer

If they have the same slope, then there are two possibilities. First say they have the same slope and different y intercepts. This means they are parallel lines and there is no intersection. The solution is the empty set or we say there is no solution. If the y intercept is the same, then the two equations represent the same line. In this case there is an infinite number of solutions.