Final answer:
The slope of the line through the points (1, 5/7) and (2, 2/7) is calculated as -3/7, making the correct answer b) -3/7.
Step-by-step explanation:
The slope of the line passing through the points (1, 5/7) and (2, 2/7) can be found by calculating the rise over the run, which is the change in y-values divided by the change in x-values between the two points.
Using the formula for slope m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the given points, we substitute the values:
m = (2/7 - 5/7) / (2 - 1) = (-3/7) / 1 = -3/7.
Therefore, the correct answer is b) -3/7.