Which of these graphs shows that the linear system −2x+y=6 and 4x−2y=−12 has an infinite number of solutions?(1 point)%0D%0AResponses%0D%0A%0D%0A%0D%0AImage with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. A line is plotted on the plane. An upward slanting line with arrows at both ends passes through the points left parenthesis negative 3 comma 0 right parenthesis and left parenthesis 0 comma 6 right parenthesis.
1 answer
The graph described shows the linear system −2x+y=6 and 4x−2y=−12 has an infinite number of solutions because the two equations represent the same line. The line passes through the points (-3, 0) and (0, 6), indicating that all points on this line are solutions to the system.