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Point A is 17 units to the right of, and 9 units lower than, point B. Find the slope of the line connecting points A and B.

A. -9/17
B. 17/9
C. 9/17
D. 8

1 Answer

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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

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