1. **State the problem:** Find the slope of the line passing through the points $(68, 10)$ and $(66, 96)$. 2. **Recall the slope formula:** 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:** Here, $(x_1, y_1) = (68, 10)$ and $(x_2, y_2) = (66, 96)$. $$m = \frac{96 - 10}{66 - 68}$$ 4. **Calculate the numerator and denominator:** $$96 - 10 = 86$$ $$66 - 68 = -2$$ 5. **Write the slope:** $$m = \frac{86}{-2}$$ 6. **Simplify the fraction:** $$m = -43$$ **Final answer:** The slope of the line is $-43$.