Question: Find the slope of the line that contains the points $(2, 0)$ and $(-14, 8)$.
1. **State the problem:** Find the slope of the line passing through points $(2, 0)$ and $(-14, 8)$.
2. **Formula for slope:** The slope $m$ of a line through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by:
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
3. **Substitute the given points:**
$$m = \frac{8 - 0}{-14 - 2} = \frac{8}{-16}$$
4. **Simplify the fraction:**
$$m = \frac{8}{\cancel{16}} \times \frac{1}{-\cancel{2}} = -\frac{1}{2}$$
5. **Interpretation:** The slope of the line is $-\frac{1}{2}$, which means for every 2 units you move horizontally to the right, the line goes down by 1 unit.
**Final answer:** $-\frac{1}{2}$