1. **State the problem:** Find the slope of the line passing through the points $(28, 84)$ and $(30, 10)$. 2. **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. **Substitute the given points:** $$m = \frac{10 - 84}{30 - 28}$$ 4. **Calculate the differences:** $$m = \frac{-74}{2}$$ 5. **Simplify the fraction:** $$m = \frac{\cancel{-74}}{\cancel{2}} = -37$$ 6. **Interpretation:** The slope of the line is $-37$, which means the line falls steeply as it moves from left to right. **Final answer:** $$m = -37$$