Question: Find the slope of the line.
Slope = m =
Enter your answer as an integer or as a reduced fraction in the form A/B.
A red line graph descends from top-left to bottom-right, passing through approximately $(-3, 0)$ and $(0, -5)$; position_hint: center
1. **State the problem:** Find the slope $m$ of the line passing through the points $(-3, 0)$ and $(0, -5)$.
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. **Substitute the points:** Here, $x_1 = -3$, $y_1 = 0$, $x_2 = 0$, and $y_2 = -5$.
$$m = \frac{-5 - 0}{0 - (-3)} = \frac{-5}{0 + 3} = \frac{-5}{3}$$
4. **Simplify the fraction:** The fraction $\frac{-5}{3}$ is already in reduced form.
5. **Interpretation:** The slope is negative, indicating the line descends from left to right, consistent with the graph.
**Final answer:**
$$m = -\frac{5}{3}$$