https://file.aiquickdraw.com/mathbot/file/1726836745683c4o70zc8.jpg

The problem asks us to find the slope of the line, which represents the falcon's descent over time.

The slope formula is given by:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

From the graph, two points on the line are provided:
- \((3, 42)\)
- \((7, 18)\)

Substituting the coordinates into the formula:

\[
\text{slope} = \frac{18 - 42}{7 - 3} = \frac{-24}{4} = -6
\]

So, the slope of the line is \(-6\), which means the falcon's altitude is decreasing by 6 feet per second.

Would you like more details or have any questions?

Here are some related questions to expand understanding:
1. What does the negative slope indicate in real-world terms?
2. How would the graph change if the falcon descended at a slower rate?
3. What is the equation of the line representing the falcon's descent?
4. How would you calculate the slope if different points were given?
5. What would happen to the slope if the falcon started at a higher altitude?

**Tip:** The slope gives us the rate of change—here, it tells us how fast the falcon's altitude is decreasing over time.

The graph shows the altitude of a falcon as it makes its descent. Find the slope of the line.

Learn how to find the slope of a line representing a falcon's altitude descent over time. Using the points (3, 42) and (7, 18), the slope is calculated as -6. This problem focuses on linear equations and the rate of change, suitable for students in Grades 7-9.

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