1. **State the problem:** Write an equation in point-slope form for a line with slope $\frac{3}{5}$ passing through the point $(-2, 6)$. 2. **Recall the point-slope form formula:** $$y - y_1 = m(x - x_1)$$ where $m$ is the slope and $(x_1, y_1)$ is a point on the line. 3. **Substitute the given values:** $$y - 6 = \frac{3}{5}(x - (-2))$$ which simplifies to $$y - 6 = \frac{3}{5}(x + 2)$$ 4. **Explain:** This equation represents the line with slope $\frac{3}{5}$ passing through $(-2, 6)$ in point-slope form. **Final answer:** $$y - 6 = \frac{3}{5}(x + 2)$$