Final answer:
The slope of a line through the points (1, 0.1) and (7, 26.8) is found using the slope formula, yielding a slope of 4.45. The closest answer choice to 4.45 is 4.5.
Step-by-step explanation:
To find the slope of a line passing through two points, you can use the slope formula m = (y2 - y1) / (x2 - x1), where m represents the slope, (x1, y1) is the first point, and (x2, y2) is the second point. For the points given, Point 1: (1, 0.1) and Point 2: (7, 26.8), the slope can be calculated as follows:
m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45
The closest answer to our calculated value is b. 4.5, which would be the estimated slope for a line passing through the provided points. It is important to note that the exact value of the slope from the calculation is 4.45, which is not one of the options given, but 4.5 is the nearest value.