Final answer:
The slope of the line passing through the points (1, 0.1) and (7, 26.8) is calculated using the slope formula and is found to be approximately 4.45, corresponding to answer choice b, which is 4.5.
Step-by-step explanation:
The slope of a line is a measure of its steepness and can be calculated by finding the ratio of the change in y (vertical change) to the change in x (horizontal change) between two distinct points on the line. To find the slope of the line passing through two given points, Point 1: (1, 0.1) and Point 2: (7, 26.8), use the slope formula:
Slope (m) = (y2 - y1) / (x2 - x1)
Plugging in the values from the given points:
Slope (m) = (26.8 - 0.1) / (7 - 1)
Slope (m) = 26.7 / 6
Slope (m) = 4.45
The closest answer choice to 4.45 is 4.5, which would be option b.