1. **State the problem:** Find the equation of the line passing through the points $(-4,8)$ and $(4,4)$ using the point-slope form. 2. **Recall the point-slope formula:** The point-slope form of a line is given by: $$y - y_1 = m(x - x_1)$$ where $m$ is the slope and $(x_1, y_1)$ is a point on the line. 3. **Calculate the slope $m$:** $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 8}{4 - (-4)} = \frac{-4}{8} = -\frac{1}{2}$$ 4. **Choose one point to use in the formula:** Let's use $(-4,8)$. 5. **Write the point-slope equation:** $$y - 8 = -\frac{1}{2}(x - (-4))$$ which simplifies to $$y - 8 = -\frac{1}{2}(x + 4)$$ 6. **Final answer:** The point-slope form of the line is $$y - 8 = -\frac{1}{2}(x + 4)$$