Final answer:
Line B is the steeper increasing line and represents a greater rate of change compared to the function.
Step-by-step explanation:
When comparing two functions, the rate of change is determined by the slope of the line representing each function.
A steeper line indicates a greater rate of change.
So, in this case, the pair of points that can represent an increasing function with a greater rate of change than that of the function would be Line B, which is the steeper increasing line.