Final answer:
The slope that passes through the points (-6, 1) and (3, 7) is 2/3.
Step-by-step explanation:
To find the slope that passes through the points (-6, 1) and (3, 7), we can use the formula for slope, which is rise over run. The rise is the change in the y-values, and the run is the change in the x-values. For the given points, the rise is 7 - 1 = 6 and the run is 3 - (-6) = 9. Therefore, the slope is 6/9, which simplifies to 2/3. So, the answer is C) m = 2/3.