OG详解-OG10 数学2 Q3

Choice D is correct. It’s given that the graph shows the linear relationship between x and y. The given graph passes through the points (0, -5), (1, -3), and (2, -1). It follows that when x = 0, the corresponding value of y is -5, when x = 1, the corresponding value of y is -3, and when x = 2, the corresponding value of y is -1. Of the given choices, only the table in choice D gives these three values of x and their corresponding values of y for the relationship shown in the graph.
Choice A is incorrect. This table represents a relationship between x and y such that the graph passes through the points (0, 0), (1, -7), and (2, -9). Choice B is incorrect. This table represents a relationship between x and y such that the graph passes through the points (0, 0), (1, -3), and (2, -1). Choice C is incorrect. This table represents a linear relationship between x and y such that the graph passes through the points (0, -5), (1, -7), and (2, -9).