1. **State the problem:** We need to find the slope of the highlighted line segment on the graph, which represents the helicopter descending at a constant rate.
2. **Recall the slope formula:** The slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Identify points on the highlighted segment:** From the graph description, the highlighted segment starts near $(2, 3200)$ and ends near $(8, 400)$.
4. **Calculate the slope:**
$$m = \frac{400 - 3200}{8 - 2} = \frac{-2800}{6}$$
5. **Simplify the fraction:**
$$m = \frac{\cancel{-2800}^{-2800}}{\cancel{6}^6} = -\frac{2800}{6}$$
Now simplify by dividing numerator and denominator by 2:
$$m = -\frac{2800 \div 2}{6 \div 2} = -\frac{1400}{3}$$
6. **Interpretation:** The slope is negative, indicating a descent, and the value is $-\frac{1400}{3} \approx -466.67$ feet per minute.
**Final answer:** The slope of the highlighted line segment is $-\frac{1400}{3}$.
Helicopter Slope 7De776
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