Final answer:
To find the slope between the points (4,140) and (8,280), we apply the slope formula to get 140 / 4, which simplifies to 35. However, this result is not listed in the given multiple-choice options, indicating there may be an error in the question itself.
Step-by-step explanation:
The problem is asking us to find the slope of the line that passes through the points (4,140) and (8,280). The slope formula is (y2 - y1) / (x2 - x1).
- First, label your points: point 1 is (4,140) and point 2 is (8,280).
- Next, substitute the y-values and the x-values into the slope formula: (280 - 140) / (8 - 4).
- Simplify the differences: 140 / 4.
- Finally, divide to find the slope: 140 / 4 equals 35.
Therefore, the slope of the line that passes through the given points is 35. However, as we don't have this as an option and the numbers provided in the question point to a different calculation, there might be a mistake in the question. Please double-check the question or provide the correct options.