Question: What is the slope of the line?
1. **State the problem:** We need to find the slope of a line passing through the points approximately $(-4, 3)$ and $(4, -3)$.
2. **Formula for slope:** 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. **Substitute the points:** Using $(-4, 3)$ as $(x_1, y_1)$ and $(4, -3)$ as $(x_2, y_2)$, we get
$$m = \frac{-3 - 3}{4 - (-4)} = \frac{-6}{4 + 4} = \frac{-6}{8}$$
4. **Simplify the fraction:**
$$m = \frac{\cancel{-6}}{\cancel{8}} \times \frac{-3}{4}$$
5. **Final answer:** The slope of the line is
$$m = -\frac{3}{4}$$