Subjects algebra

Helicopter Slope 7De776

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

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 $-\frac{1400}{3}$.