1. **State the problem:** Rewrite the linear equation $y - 5 = 3(x + 1)$ in slope-intercept form, which is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept. 2. **Use the distributive property:** Expand the right side: $$y - 5 = 3x + 3$$ 3. **Isolate $y$:** Add 5 to both sides to solve for $y$: $$y - 5 + 5 = 3x + 3 + 5$$ $$y = 3x + 8$$ 4. **Final answer:** The slope-intercept form is: $$y=3x+8$$ This means the slope $m$ is 3 and the y-intercept $b$ is 8.