1. **State the problem:** Rewrite the equation $$y + 2 = -\frac{7}{5}(x + 5)$$ in slope-intercept form, which is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 2. **Distribute the slope:** Apply the distributive property to the right side: $$y + 2 = -\frac{7}{5}x - \frac{7}{5} \times 5$$ 3. **Simplify multiplication:** Calculate $$-\frac{7}{5} \times 5$$: $$-\frac{7}{5} \times 5 = -\cancel{\frac{7}{5}} \times \cancel{5} = -7$$ 4. **Rewrite the equation:** Substitute back: $$y + 2 = -\frac{7}{5}x - 7$$ 5. **Isolate $y$:** Subtract 2 from both sides: $$y + 2 - 2 = -\frac{7}{5}x - 7 - 2$$ $$y = -\frac{7}{5}x - 9$$ 6. **Final slope-intercept form:** $$y = -\frac{7}{5}x - 9$$ This is the equation in slope-intercept form with slope $$m = -\frac{7}{5}$$ and y-intercept $$b = -9$$.