Question: What is the slope of this line?
$(5, -1)$
$(0, -7)$
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
1. **State the problem:** Find the slope of the line passing through the points $(5, -1)$ and $(0, -7)$.
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. **Assign points:** Let $(x_1, y_1) = (0, -7)$ and $(x_2, y_2) = (5, -1)$.
4. **Calculate numerator:**
$$y_2 - y_1 = -1 - (-7) = -1 + 7 = 6$$
5. **Calculate denominator:**
$$x_2 - x_1 = 5 - 0 = 5$$
6. **Calculate slope:**
$$m = \frac{6}{5}$$
7. **Simplify:** The fraction $\frac{6}{5}$ is already in simplest form.
**Final answer:** The slope of the line is $\frac{6}{5}$.