Final answer:
The slope of the line through the points (1, 0.1) and (7, 26.8) is found using the slope formula and is approximately 4.5 after rounding to the nearest tenth.
Step-by-step explanation:
To calculate the slope of a line passing through two points, (1, 0.1) and (7, 26.8), we use the slope formula: m = (Δy / Δx) = (y2 - y1) / (x2 - x1). Substituting the given points into the formula gives us m = (26.8 - 0.1) / (7 - 1) which simplifies to 26.7 / 6. Calculating this division results in a slope of 4.45, which is approximately 4.5 when rounded to the nearest tenth. Hence, showing the relationship between rise and run on a line graph.
The slope of a line passing through the points (1, 0.1) and (7, 26.8) is calculated using the slope formula, yielding a slope of 4.5 after rounding to the nearest tenth. To find the slope of a line passing through two points, we use the slope formula: m = (y2 - y1) / (x2 - x1) For the points given (1, 0.1) and (7, 26.8), we calculate the slope as follows: m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45 When rounded to the nearest tenth, the slope is 4.5. Thus, the correct answer is b. 4.5.