Line Slope 53A2Ab

1. **State the problem:** We need to find the slope of a line passing through the points $(-1, 4)$ and $(0, 2)$. 2. **Formula for slope:** The slope $m$ of a line passing through 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:** Using $(-1, 4)$ as $(x_1, y_1)$ and $(0, 2)$ as $(x_2, y_2)$, we get $$m = \frac{2 - 4}{0 - (-1)} = \frac{2 - 4}{0 + 1} = \frac{-2}{1}$$ 4. **Simplify the fraction:** $$m = -2$$ 5. **Interpretation:** The slope of the line is $-2$, which means the line goes down 2 units vertically for every 1 unit it moves horizontally to the right. **Final answer:** The slope of the line is $-2$.