1. **State the problem:** Convert the point-slope form equation $$y + 5 = -2(x - 1)$$ to slope-intercept form $$y = mx + b$$. 2. **Recall the formula:** The point-slope form is $$y - y_1 = m(x - x_1)$$, where $$m$$ is the slope and $$(x_1, y_1)$$ is a point on the line. 3. **Identify values:** Here, $$m = -2$$, $$x_1 = 1$$, and $$y_1 = -5$$. 4. **Rewrite the equation:** $$y + 5 = -2(x - 1)$$. 5. **Distribute the slope:** $$y + 5 = -2x + 2$$. 6. **Isolate $$y$$:** Subtract 5 from both sides: $$y = -2x + 2 - 5$$ 7. **Simplify:** $$y = -2x - 3$$. **Final answer:** The slope-intercept form is $$y = -2x - 3$$, where the slope $$m = -2$$ and the y-intercept $$b = -3$$.