Final answer:
The slope of the line passing through the points (-3, 1) and (4, 6) is 5/7.
Step-by-step explanation:
To calculate the slope of a line given two points, we use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the points (-3, 1) and (4, 6), we substitute the values into the formula:
slope = (6 - 1) / (4 - (-3))
slope = 5 / 7
Therefore, the slope of the line is 5/7 (option B).