The graph that shows a system with an infinite number of solutions is: B. Graph C.
What is graph?
We must take into account the idea of intersecting lines in a system of equations in order to see why Graph C depicts a system with infinite solutions. A system of equations has an infinite number of solutions if the lines that represent the equations overlap or coincide.
Graph C shows us that the two lines completely overlap one another. This suggests that there are an endless number of solutions to the system of equations that the graph represents. Any point on the graph's shared line would simultaneously fulfil both equations.
Therefore the correct option is B.