Final answer:
The slope of a line passing through two points is found by taking the change in y-coordinates divided by the change in x-coordinates. For the given points (1, 0.1) and (7, 26.8), the slope is approximately 4.45.
Step-by-step explanation:
The slope of a line passing through two points can be found using the formula:
slope = (change in y-coordinates)/(change in x-coordinates)
Given the points (1, 0.1) and (7, 26.8), the change in y-coordinates is 26.8 - 0.1 = 26.7 and the change in x-coordinates is 7 - 1 = 6. Substituting these values into the formula, we get:
slope = 26.7/6
slope ≈ 4.45