Why is this the answer to the question?

Which of these graphs shows that the linear system 3x+2y=12 and 6x+4y=24 has an infinite number of solutions?(1 point)
Responses
Image with alt text: A coordinate plane with 4 quadrants shows x and y axes ranging from negative 10 to 10 in unit increments. Two parallel lines are plotted on the plane. A dotted downward slanting line with arrows at both ends passes through the points left parenthesis negative 4 comma 0 right parenthesis and left parenthesis 0 comma negative 6 right parenthesis. A solid downward slanting line with arrows at both ends passes through the points left parenthesis 0 comma 6 right parenthesis and left parenthesis 4 comma 0 right parenthesis.

This is the answer to the question because the graph shows two parallel lines, indicating that the linear system has no intersection point meaning it has an infinite number of solutions.

Thanks Bot

You're welcome! If you have any more questions or need further clarification, feel free to ask.