Based on the image of the graph, the correct equation is y = -1/3x -3
What is the equation?
This equation represents a line with a slope of -1/3 and a y-intercept of -3. The slope of a line determines its steepness, and the y-intercept is the point where the line crosses the y-axis.
The other equations do not match the graph. For example, the equation y = -3x - 1/3 has a slope of -3, which is much steeper than the line shown in the graph. Additionally, the y-intercept of this equation is -1/3, which is different from the y-intercept of the line in the graph.
Therefore, the equation y = -1/3x - 3 is the only equation that matches the graph.