Final answer:
The slope of a line passing through the points (1, 0.1) and (7, 26.8) is calculated using the slope formula and is approximately 4.5, corresponding to choice b.
Step-by-step explanation:
To find the slope of a line that passes through two points, you use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
For Point 1: (1, 0.1) and Point 2: (7, 26.8), the slope calculation is:
m = (26.8 - 0.1) / (7 - 1)
m = 26.7 / 6
m = 4.45
Therefore, the slope for the line passing through these two points is approximately 4.5, which corresponds to choice b.