Which answer describes the graph of the system of equations?
The point of intersection is (0, 4).
The point of intersection is (4, 0).
The lines are parallel.
The lines coincide.
To determine which answer describes the graph of the system of equations, we need to find the solution to the system.
If the point of intersection is (0, 4), it means that both lines in the system intersect at coordinates (0, 4). This implies that the lines are not parallel, as parallel lines do not intersect.
If the point of intersection is (4, 0), it means that both lines in the system intersect at coordinates (4, 0). Similarly, this indicates that the lines are not parallel.
If the lines are parallel, it means they have the same slope but different y-intercepts. In this case, the lines would never intersect, so neither (0, 4) nor (4, 0) can be points of intersection.
If the lines coincide, it means they are essentially the same line and intersect at all points. In this situation, both (0, 4) and (4, 0) would be points of intersection.
Based on this analysis, the answer that best matches the given information is: "The lines coincide."