A
B
C
D
Explanation
Correct answer: C.
Choice C is correct. The solution to the system of two equations corresponds to the point where the graphs of the equations intersect. The graphs of the linear function and the absolute value function shown intersect at the point . Thus, the solution to the system is .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B
Choice B is incorrect. This is the y-intercept of the graph of the linear function.
Choice D
Choice D is incorrect. This is the vertex of the graph of the absolute value function.