Final answer:
The slope of the line passing through the points (20,1) and (2,-10) is found using the slope formula. The slope is the change in y divided by the change in x, which results in a slope of 11/18, corresponding to option C.
Step-by-step explanation:
To find the slope of the line passing through two given points, you can use the slope formula, which is:
slope (m) = (Δy) / (Δx) = (y2 - y1) / (x2 - x1)
For the points (20,1) and (2,-10), you would subtract the y-coordinates and the x-coordinates of the points to find Δy and Δx, respectively, as follows:
Δy = -10 - 1 = -11
Δx = 2 - 20 = -18
Then, divide Δy by Δx to find the slope:
slope (m) = (-11) / (-18) = 11 / 18
This corresponds to answer choice C. 11/18.