I need to find the rate of change or slope of the line containing each pair of points.

Answer:
2
Step-by-step explanation:
As we move from (1/6, 1/3) to (1/4, 1/2), x increases by 1/12, and y increases by 1/6. Thus, the slope is m = rise / run = (1/6) / (1/12), OR 12/6, or 2.
The desired rate of change / slope is m = 2.