Final answer:
The slope of a line passing through the points (1, 0.1) and (7, 26.8) is determined by subtracting the y-values and the x-values of these points and then dividing the former by the latter, resulting in a slope of approximately 4.5.
Step-by-step explanation:
To determine the slope of a line that passes through two given points, we can use the slope formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, we have Point 1: (1, 0.1) and Point 2: (7, 26.8).
- First, subtract the y-values: 26.8 - 0.1 = 26.7.
- Then, subtract the x-values: 7 - 1 = 6.
- Divide the difference in y-values by the difference in x-values: 26.7 / 6 = 4.45.
The slope is approximately 4.5 when rounded to one decimal place, corresponding to option (b).