Final answer:
The slope of the line passing through the points (-1, 8) and (2, 6) is calculated using the slope formula and is -2/3.
Step-by-step explanation:
To calculate the slope of a line passing through the points (-1,8) and (2,6), you use the formula for slope, which is m = (y2 - y1) / (x2 - x1). Here, (x1, y1) represents the first point (-1, 8), and (x2, y2) represents the second point (2, 6).
Substituting the values into the slope formula gives us:
m = (6 - 8) / (2 - (-1)) = (-2) / (3) = -2/3.
Therefore, the slope of the line is -2/3.