1. **State the problem:** Find the slope $m$ of the line passing through points $C(10,8)$ and $D(4,-4)$.\n\n2. **Formula:** The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:\n$$m=\frac{y_2 - y_1}{x_2 - x_1}$$\n\n3. **Substitute the points:** Here, $x_1=10$, $y_1=8$, $x_2=4$, $y_2=-4$.\n$$m=\frac{-4 - 8}{4 - 10}$$\n\n4. **Simplify numerator and denominator:**\n$$m=\frac{-12}{-6}$$\n\n5. **Cancel common factors:**\n$$m=\frac{\cancel{-12}}{\cancel{-6}}=2$$\n\n6. **Interpretation:** The slope $m=2$ means the line rises 2 units vertically for every 1 unit it moves horizontally to the right.