1. **State the problem:** We need to find the slope of the line passing through the points $(-10,6)$ and $(0,-4)$ and express it in simplest form. 2. **Recall the slope formula:** The slope $m$ of a line through points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. **Identify the points:** Here, $x_1 = -10$, $y_1 = 6$, $x_2 = 0$, and $y_2 = -4$. 4. **Calculate the difference in $y$ (rise):** $$y_2 - y_1 = -4 - 6 = -10$$ 5. **Calculate the difference in $x$ (run):** $$x_2 - x_1 = 0 - (-10) = 10$$ 6. **Substitute into the slope formula:** $$m = \frac{-10}{10}$$ 7. **Simplify the fraction:** $$m = \frac{\cancel{-10}}{\cancel{10}} = -1$$ 8. **Interpretation:** The slope of the line is $-1$, meaning for every 1 unit increase in $x$, $y$ decreases by 1 unit. **Final answer:** The slope of the line is $-1$.