To find the slope of the ski run, you can use the formula:

$\text{slope} = \frac{\text{vertical change}}{\text{horizontal change}}$

Here, the vertical change is $-15$ feet (since it's a descent), and the horizontal change is $24$ feet. Thus:

$\text{slope} = \frac{-15}{24}$

Now, simplify the fraction:

$\text{slope} = \frac{-5}{8}$

So, the slope of the ski run is $-\frac{5}{8}$, indicating a downward slope.

Would you like further details or have any questions?

Here are some related questions you might find helpful:

1. How do you interpret a negative slope in real-life scenarios?
2. What is the difference between slope and gradient in the context of slopes?
3. How would the slope change if the ski run had a steeper descent?
4. Can slope values be greater than 1 or less than -1? What do they represent?
5. How can the slope be used to determine the angle of inclination of the ski run?

Tip: Remember, a negative slope always indicates a downward trend or descent in the context of movement or positioning.