Final answer:
The slope of a line passing through (8, 2) and (10, 2) is calculated as 0, indicating that the line is horizontal with a constant y-value.
Step-by-step explanation:
The slope of a line that passes through two points, (8, 2) and (10, 2), can be calculated using the change in y (rise) over the change in x (run).
Observing the given points, we see that the y-value remains constant at 2, while the x-value increases from 8 to 10. The slope formula, which is (y2 - y1) / (x2 - x1), can be applied here:
Slope = (2 - 2) / (10 - 8) = 0 / 2 = 0
Since the change in y is zero, the slope of the line is 0.
This indicates that the line is horizontal, which is consistent with the constant y-value for both points.