Question: A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points $(-2,0)$ and $(-3,-3)$. What is the slope of the line?
1. **State the problem:** Find the slope of the line passing through the points $(-2,0)$ and $(-3,-3)$.
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. **Identify points:** Here, $x_1 = -2$, $y_1 = 0$, $x_2 = -3$, and $y_2 = -3$.
4. **Substitute values:**
$$m = \frac{-3 - 0}{-3 - (-2)} = \frac{-3}{-3 + 2} = \frac{-3}{-1}$$
5. **Simplify fraction:**
$$m = \frac{\cancel{-3}}{\cancel{-1}} \times \frac{-1}{-1} = 3$$
6. **Interpretation:** The slope of the line is $3$, meaning the line rises 3 units vertically for every 1 unit it moves horizontally to the right.
**Final answer:**
$$\boxed{3}$$