Final answer:
The slope of the line passing through (1, 0.1) and (7, 26.8) is found using the slope formula. Calculating (26.8 - 0.1) ∕ (7 - 1) gives the slope m = 4.45, which rounds to 4.5.
Step-by-step explanation:
To find the slope of the line passing through two points, we use the slope formula, which is m = (y2 - y1) ∕ (x2 - x1), where m represents the slope, and (x1, y1) and (x2, y2) are the two points the line passes through. Given the points Point 1: (1, 0.1) and Point 2: (7, 26.8), we plug them into the formula as follows: m = (26.8 - 0.1) ∕ (7 - 1), which simplifies to m = (26.7) ∕ (6).
Calculating this, we find that m = 4.45. Therefore, the slope is approximately 4.5, assuming we round to the nearest tenth as indicated in the options provided, which are 2.4 and 4.5. The slope formula is generalizable to calculating the incline of any straight line on a graph, demonstrating a core principle of algebra in constructing and understanding linear relationships.