Choice C is correct. The solution to a 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 a point with an x-coordinate between -4 and -3 and a y-coordinate between 4 and 5. Of the given choices, only (−72,92) has an x-coordinate between -4 and -3 and a y-coordinate between 4 and 5.
Choice A is incorrect. This is the y-intercept of the graph of the linear function. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect. This is the vertex of the graph of the absolute value function.