Question: Draw a line representing the $\text{``rise''}$ and a line representing the $\text{``run''}$ of the line. State the slope of the line in simplest form.
1. **State the problem:** We need to find the slope of a line passing through the points approximately $(-2, 10)$ and $(5, -10)$.
2. **Recall the slope formula:** The slope $m$ of a line passing 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. **Identify the points:** Here, $x_1 = -2$, $y_1 = 10$, $x_2 = 5$, and $y_2 = -10$.
4. **Calculate the rise (change in $y$):**
$$y_2 - y_1 = -10 - 10 = -20$$
5. **Calculate the run (change in $x$):**
$$x_2 - x_1 = 5 - (-2) = 5 + 2 = 7$$
6. **Calculate the slope:**
$$m = \frac{-20}{7}$$
7. **Simplify the slope:** The fraction $\frac{-20}{7}$ is already in simplest form.
8. **Interpretation:** The slope is negative, indicating the line slopes downward from left to right.
**Final answer:** The slope of the line is
$$\boxed{-\frac{20}{7}}$$