1. **Problem Statement:** Interpret the slope and y-intercept of the Sky Diver's Altitude graph, which shows altitude decreasing from 4000 ft at 0 min to 0 ft at 4 min.
2. **Formula for slope:**
$$\text{slope} = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Calculate slope:**
Points: $(0,4000)$ and $(4,0)$
$$\text{slope} = \frac{0 - 4000}{4 - 0} = \frac{-4000}{4} = -1000$$
4. **Interpret slope units:**
Since $y$ is altitude in feet and $x$ is time in minutes, slope units are feet per minute (ft/min).
5. **Interpret slope meaning:**
The slope is $-1000$ ft/min, meaning the skydiver loses 1000 feet of altitude every minute.
6. **Identify y-intercept:**
The y-intercept is the altitude at time 0, which is $(0,4000)$.
7. **Interpret y-intercept meaning:**
At time 0 minutes, the skydiver is at 4000 feet altitude.
8. **Summary statements:**
- Slope: For every 1 minute, the altitude decreases by 1000 feet.
- Y-intercept: At 0 minutes, the altitude is 4000 feet.
Final answers:
- Slope: $-1000$ feet/min
- Y-intercept: $(0,4000)$
Sky Diver Altitude Def564
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