Explanation
Correct answer: B.
Choice B is correct. If a point lies on both lines in the graph of a system of two linear equations, the ordered pair is a solution to the system. The graph shown is the graph of a system of two linear equations, where the two lines in the graph intersect at the point . Therefore, the point lies on both lines, so the ordered pair is the solution to the system.
Desmos solution:
Note: The solution is the point where the two lines intersect.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. The point lies on one, not both, of the lines in the graph shown.
Choice C
Choice C is incorrect. The point lies on one, not both, of the lines in the graph shown.
Choice D
Choice D is incorrect. The point lies on one, not both, of the lines in the graph shown.