The slope of the line passing through the points (4, 7) and (-3, 6) can be found using the slope formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (4, 7) and (x2, y2) = (-3, 6)
Substituting the values we have:
slope = (6 - 7) / (-3 - 4) = -1 / -7 = 1/7
Therefore, the slope of the line passing through the points (4, 7) and (-3, 6) is 1/7.