To determine which linear inequality represents the given graph, we need to analyze the slope and y-intercept of the graph.
Looking at the graph, we can see that the line is sloping downwards from left to right. This indicates a negative slope. Additionally, the line crosses the y-axis at a point below zero, suggesting a y-intercept of a negative value.
Among the answer choices, the inequality that represents a negative slope and a negative y-intercept is:
D. y < 4x - 4
This inequality satisfies the criteria based on the given graph. The slope of 4x indicates a negative slope, and the y-intercept of -4 is negative. Therefore, option D is the correct representation of the graph.