Final answer:
The slope of a line passing through the points (1, 0.1) and (7, 26.8) is calculated to be 4.45, which corresponds to option b. 4.5.
Step-by-step explanation:
The slope of a line is calculated using the formula m = (y2 - y1) / (x2 - x1), which represents the change in y (the rise) divided by the change in x (the run). Calculating the slope for a line passing through the points (1, 0.1) and (7, 26.8), we use the coordinates to get the rise and run.
Substituting the values into the slope formula, we get:
m = (26.8 - 0.1) / (7 - 1)
m = (26.7) / (6)
m = 4.45
Therefore, the slope of the line is 4.45, which corresponds to option b. 4.5.