Final answer:
The slope of a line passing through the points (1, 0.1) and (7, 26.8) is calculated as 4.45, which rounds to 4.5.
Step-by-step explanation:
The slope of a line passing through two points, (Point 1: (1, 0.1) and Point 2: (7, 26.8)), is calculated using the slope formula, which is the change in y divided by the change in x (rise over run). To find the slope (m), we use the formula m = (y2 - y1) / (x2 - x1). We substitute the given points into the formula to get m = (26.8 - 0.1) / (7 - 1) which simplifies to m = 26.7 / 6. This gives us the slope m = 4.45, which is approximately 4.5 when rounded to the nearest tenth.
Therefore, the correct answer is b. 4.5.