1. **State the problem:** We need to determine the slope $m$ of the line passing through the points given in the table: $(-1, -15)$, $(0, -10)$, and $(1, -5)$.
2. **Recall the 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. **Choose two points to calculate the slope:** Let's use the points $(-1, -15)$ and $(0, -10)$.
4. **Substitute the values into the formula:**
$$m = \frac{-10 - (-15)}{0 - (-1)} = \frac{-10 + 15}{0 + 1} = \frac{5}{1}$$
5. **Simplify the fraction:**
$$m = 5$$
6. **Verify with another pair of points:** Using $(0, -10)$ and $(1, -5)$:
$$m = \frac{-5 - (-10)}{1 - 0} = \frac{-5 + 10}{1} = \frac{5}{1} = 5$$
7. **Conclusion:** The slope of the line is $5$.
This means for every increase of 1 in $x$, $y$ increases by 5.
Slope Table C69Db1
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