Check the following in the graph:
A. Intersecting Lines
Solution: Point of intersection
Slopes: Different
Y-intercepts: Different
System: Consistent and Independent
B: Overlapping Lines / Coinciding
Solution: Many or Infinite (all the points in the line are solution to the system)
Slopes: Same
Y-intercepts: same
System: Consistent but dependent
C. Parallel Lines
Solution: None (since the lines do not intersect at any point)
Slopes: same
Y-intercepts: different
System: Inconsistent
Please click image below for examples of each graph.