Final answer:
The rate of change for the interval between 2 and 6 on the x-axis is 3, which represents the slope of the line in the mentioned interval.
Step-by-step explanation:
The question pertains to the rate of change on a graph over a specific interval, which is essentially the slope of the line segment on the graph between x=2 and x=6.
The slope is calculated by taking the difference in y-values (rise) divided by the difference in x-values (run) over the interval.
Given that the slope is the same all along a straight line, as suggested in one of the figures provided, the rate of change (slope) would be 3.
This is because for every increase of 1 on the horizontal axis (x-axis), there is a rise of 3 on the vertical axis (y-axis). Therefore, for the interval between 2 and 6 on the x-axis, the rate of change would be 3.