https://file.aiquickdraw.com/mathbot/file/172964870973692nsq8lg.jpg

To determine the slope of the stairs, we can use the formula for the slope of a right triangle, which is:

\[
\text{slope} = \frac{\text{rise}}{\text{run}}
\]

From the image:
- **Rise** = 9 ft (the vertical height)
- **Run** = 45 ft (the horizontal distance)

Thus, the slope of the stairs is:

\[
\text{slope} = \frac{9}{45} = \frac{1}{5}
\]

So, the slope in simplest form is \( \frac{1}{5} \).

Do you need more details or have any other questions?

Here are 5 related questions to explore:
1. What does the slope represent in practical terms for these stairs?
2. How does the steepness of a slope affect safety and usability in stair design?
3. Can you calculate the angle of elevation of the stairs using the slope?
4. How would the slope change if the rise were doubled, but the run stayed the same?
5. What is the difference between slope and grade when describing staircases?

**Tip:** When working with slopes, always ensure you simplify the ratio to its lowest terms for clarity and accuracy.

Determine the slope of the stairs. Write your answer in simplest form. The given dimensions are: rise = 9 feet, run = 45 feet.

This problem involves determining the slope of a set of stairs with a rise of 9 feet and a run of 45 feet. The solution explains how to apply the slope formula (slope = rise/run) and simplifies the result to its lowest terms, making it ideal for students in Grades 6-8.

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