Which of these graphs shows that the linear system negative 2X plus Y equals six and 4X minus 2Y equals -12 has an infinite number of solutions

The correct graph that represents a linear system with an infinite number of solutions would be the one where the two lines overlap or are coincident. This means that both equations represent the same line, so they have an infinite number of points (solutions) in common.

Therefore, the correct graph would be the one where the two lines are on top of each other.