Final answer:
The slope between two points where point A is 17 units to the right and 9 units below point B is calculated using the slope formula (change in y)/(change in x). With the given information, the correct answer for the slope of the line connecting points A and B is -9/17.
Step-by-step explanation:
To find the slope between two points on a coordinate plane, you use the formula:
slope = (change in y) / (change in x)
In this scenario, point A is to the right of and below point B. So, if we set point B as (x1, y1) and point A as (x2, y2), we have x2 = x1 + 17 and y2 = y1 - 9. Thus, the change in x (run) is 17 units to the right, and the change in y (rise) is -9 units (since point A is below point B).
Using the formula, the slope = (-9/17). Therefore, the correct answer is:
A. -9/17