Answer:
y = -3/5x - 3
Step-by-step explanation:
First, we need to find the slope. I'll do this using a slope triangle, which I've drawn on your picture to help make things clearer. You'll notice that there's a change in y of -3, and a change in x of 5. Slope is the change in y divided by the change in x, so our slope is -3/5.
The y-intercept is much easier - just look for the spot where the the line passes the y-axis. This point is (0, -3).
So, the equation that best represents the relationship between x and y in the graph is the equation of y = -3/5x - 3.
