Which of these graphs shows that the linear system -2x + 2y = 6 and 4x -2y = 12 has an infinite number of solutions
A graph showing that the linear system -2x + 2y = 6 and 4x - 2y = 12 has an infinite number of solutions would show two overlapping lines that are the same, meaning the two equations are actually the same line and intersect at every point. This would look like a single straight line when graphed.
So, the correct graph would be the one where the two lines overlap and there is only one line shown.