Question 9 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
Which graph most likely shows a system of equations with no solutions?
Answer
A
Image with description A coordinate plane with a parabola and a straight line. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The parabola opens upward with its vertex near 0 comma 0 at the origin, with the left arm rising into the upper-left portion of the plane and the right arm rising into the upper-right area. The straight line has a negative slope and extends from the upper-left area of the plane, passing through approximately negative 1 comma 4, downward to the right, ending near the point 2 comma negative 5.
B
Image with description A coordinate plane with a parabola and a straight line. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The parabola opens upward with its vertex near 0 comma 2, with both arms rising steeply into the upper portion of the plane. The straight line has a positive slope and extends from the lower-left area of the plane, passing through approximately negative 3 comma negative 4, upward to the right, passing through approximately 3 comma 4.
C
Image with description A coordinate plane with a parabola and a straight line. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The parabola opens upward with its vertex near 0 comma 1 on the y-axis, with both arms rising into the upper portion of the plane. The straight line has a slight positive slope and extends from the lower-left area of the plane, passing through approximately negative 5 comma negative 4, to the right edge of the plane near 5 comma 0.
D
Image with description A coordinate plane with a parabola and a straight line. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The parabola opens upward with its vertex near 0 comma 1 on the y-axis, with both arms rising steeply into the upper portion of the plane. The straight line has a slight positive slope and extends from the lower-left area of the plane, passing through approximately negative 4 comma negative 4, to the right edge near 5 comma 1.