Question: What is the slope of the line? The graph shows a straight line decreasing from left to right, passing through approximately $(-2, 3)$, $(-1, 0)$, and $(0, -3)$.
1. **State the problem:** We need to find the slope of the line passing through the points $(-2, 3)$, $(-1, 0)$, and $(0, -3)$.
2. **Recall the slope formula:** 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 points $(-2, 3)$ and $(-1, 0)$.
4. **Calculate the slope:**
$$m = \frac{0 - 3}{-1 - (-2)} = \frac{0 - 3}{-1 + 2} = \frac{-3}{1} = -3$$
5. **Verify with another pair:** Using $(-1, 0)$ and $(0, -3)$,
$$m = \frac{-3 - 0}{0 - (-1)} = \frac{-3}{1} = -3$$
6. **Conclusion:** The slope of the line is $-3$.