Line Slope 718D97

1. **State the problem:** We need to find the slope of a line passing through the points approximately $(-4, 5)$ and $(0, 3)$. 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 $(-4, 5)$ as $(x_1, y_1)$ and $(0, 3)$ as $(x_2, y_2)$, we get $$m = \frac{3 - 5}{0 - (-4)} = \frac{-2}{4}$$ 4. **Simplify the fraction:** $$m = \frac{\cancel{-2}}{\cancel{4}} = -\frac{1}{2}$$ 5. **Interpretation:** The slope is $-\frac{1}{2}$, which means the line decreases by $1$ unit vertically for every $2$ units it moves horizontally to the right.