Subjects algebra

Slope Table C69Db1

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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.