Final answer:
The slope of the line passing through the points (1, 0.1) and (7, 26.8) is calculated as 4.45 by using the slope formula. Option b, 4.5, is the closest to the calculated slope.
Step-by-step explanation:
To find the slope of the line passing through the points (1, 0.1) and (7, 26.8), we use the slope formula, which is (difference in y-coordinates) / (difference in x-coordinates). Thus, the slope m is calculated as follows:
m = (y2 - y1) / (x2 - x1)
m = (26.8 - 0.1) / (7 - 1)
m = 26.7 / 6
m = 4.45
Therefore, the answer is b. 4.5, which is the closest value to our calculated slope.