Final answer:
Option D, f(x) = -10x, also has a negative slope. However, the graph in the question has a smaller slope than -10. So, the correct equation is f(x) = -5x..The possible equation for the graph of f(x) is f(x) = -5x.
Step-by-step explanation:
The possible equation for the graph of f(x) is f(x) = -5x.
To determine the equation for the graph, we can use the information given in the question. The graph has a slope that is downward to the right, which means the slope is negative. Therefore, we can eliminate options A and C, as they have positive slopes.
Option D, f(x) = -10x, also has a negative slope. However, the graph in the question has a smaller slope than -10. So, the correct equation is f(x) = -5x.