Final answer:
To find the slope between points (4, 9) and (1, 6), calculate the differences in y-values (Δy) and x-values (Δx), and then divide Δy by Δx. The calculation shows that the slope is 1. However, this option is not listed in the provided answer choices.
Step-by-step explanation:
The slope between the points (4, 9) and (1, 6) can be calculated using the slope formula, which is slope (m) = Δy / Δx. Here, Δy represents the change in y-values, and Δx represents the change in x-values between the two points.
To find the slope: Δy = y2 - y1 = 6 - 9 = -3, and Δx = x2 - x1 = 1 - 4 = -3. Therefore, the slope (m) = Δy / Δx = (-3) / (-3) = 1.
The correct answer is -1, but this option is not provided in the multiple choice answers. It appears there may be an error either in the question or the answer choices.