1. **State the problem:** Find the slope of the line passing through the points $(29, 86)$ and $(99, 14)$. 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:** $$m = \frac{14 - 86}{99 - 29}$$ 4. **Calculate the differences:** $$m = \frac{-72}{70}$$ 5. **Simplify the fraction:** Both numerator and denominator are divisible by 2. $$m = \frac{\cancel{ -72 }^{\div 2}}{\cancel{ 70 }^{\div 2}} = \frac{-36}{35}$$ 6. **Final answer:** The slope of the line is $$m = -\frac{36}{35}$$ This is a simplified improper fraction representing the slope.