1. **State the problem:** Convert the point-slope form equation $$y + 2 = 5(x - 3)$$ 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. **Apply the distributive property:** Expand the right side: $$y + 2 = 5x - 15$$ 4. **Isolate $$y$$:** Subtract 2 from both sides: $$y = 5x - 15 - 2$$ 5. **Simplify:** $$y = 5x - 17$$ 6. **Interpret the result:** The slope $$m = 5$$ and the y-intercept $$b = -17$$. **Final answer:** $$y = 5x - 17$$