1. **State the problem:** Convert the equation $y - 5 = 3(x - 2)$ to slope-intercept form, which is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept. 2. **Recall the formula and rules:** The slope-intercept form is $y = mx + b$. To convert, we need to simplify and isolate $y$ on one side. 3. **Distribute the 3 on the right side:** $$y - 5 = 3x - 6$$ 4. **Add 5 to both sides to isolate $y$:** $$y = 3x - 6 + 5$$ 5. **Simplify the constants:** $$y = 3x - 1$$ 6. **Interpretation:** The slope is 3 and the y-intercept is -1. **Final answer:** $y = 3x - 1$ which corresponds to option d.