Final answer:
The slope of a line passing through the points (1, 0.1) and (7, 26.8) is calculated to be approximately 4.5, hence option B is the correct answer.
Step-by-step explanation:
The slope of a line passing through two points can be found using the formula Δy/Δx, which stands for 'change in y over change in x.' To find the slope for a line passing through the points given, Point 1: (1, 0.1) and Point 2: (7, 26.8), we subtract the y-coordinate of Point 1 from the y-coordinate of Point 2, and do the same for the x-coordinates, then divide the two results. This gives us (26.8 - 0.1)/(7 - 1) = 26.7/6 = 4.45. Thus, the slope is approximately 4.5 which means the correct answer is option B. Since the slope is a constant value for a straight line, when provided with any other two points on this line, applying the same process would yield the same slope.