1. **State the problem:** We are given points on a line: (3,20), (7,16), (11,12), and (15,8). We need to find the slope of the line passing through these points.
2. **Formula for slope:** The slope $m$ between 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. **Choose two points:** Let's use the first two points $(3,20)$ and $(7,16)$.
4. **Calculate the slope:**
$$m = \frac{16 - 20}{7 - 3} = \frac{-4}{4}$$
5. **Simplify the fraction:**
$$m = \frac{\cancel{ -4}}{\cancel{4}} = -1$$
6. **Verify with another pair:** Using points $(7,16)$ and $(11,12)$:
$$m = \frac{12 - 16}{11 - 7} = \frac{-4}{4} = -1$$
7. **Conclusion:** The slope of the line is $-1$.
Line Slope 75D39C
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