1. **State the problem:** We need to estimate the slope of the line passing through the points $(4, 1.8)$ and $(-3.2, -2.4)$. 2. **Formula for slope:** The slope $m$ of a line through 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. **Substitute the points:** Using $(x_1, y_1) = (-3.2, -2.4)$ and $(x_2, y_2) = (4, 1.8)$: $$m = \frac{1.8 - (-2.4)}{4 - (-3.2)}$$ 4. **Simplify numerator and denominator:** $$m = \frac{1.8 + 2.4}{4 + 3.2} = \frac{4.2}{7.2}$$ 5. **Simplify the fraction:** $$m = \frac{\cancel{4.2}}{\cancel{7.2}} = \frac{7}{12}$$ 6. **Convert to decimal (optional):** $$m \approx 0.5833$$ **Answer:** The estimated slope of the line is $\frac{7}{12}$ or approximately $0.58$.