Final Answer:
The linear inequality represented by the graph is (y ≥ 3x - 1).
Step-by-step explanation:
The slope-intercept form of a linear inequality is y ≤ mx + b, where m is the slope and b is the y-intercept. In the given options, only option A, (y ≤ 3x - 1), matches this form.
To confirm this, we can compare the given inequality to the standard form and identify the slope and y-intercept. The standard form of (y ≤ 3x - 1) can be rewritten as (3x - y ≥ 1).
Comparing this to the general form of a linear inequality, Ax + By ≥ C, where A = 3, B = -1, and C = 1, we can identify the slope as -3/1 (negative because of the inequality sign) and the y-intercept as (0, -1). By analyzing the graph, we can observe that the line has a slope of 3 and intersects the y-axis at -1, confirming that the correct representation is indeed (y ≥ 3x - 1). Therefore, the final answer is as stated above