Which of these graphs shows that the linear system −2x + y = 6 and 4x − 2y = −12 has an infinite number of solutions?
The graphs of 2 linear system equations that have an infinite number of solutions would indicate that the lines representing the equations are coincident (i.e. they overlap each other completely).
Among the given options, the graph labeled "D" shows that the linear system −2x + y = 6 and 4x − 2y = −12 has an infinite number of solutions, because the lines representing the equations are overlapping each other.