1. **Problem:** Determine the slope and y-intercept of the linear function $f(x) = -3x + 6$. 2. **Formula:** A linear function is generally written as $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Solution:** Comparing $f(x) = -3x + 6$ to $y = mx + b$, we see the slope $m = -3$ and the y-intercept $b = 6$. 4. **Explanation:** The slope tells us how steep the line is and the y-intercept is the point where the line crosses the y-axis. **Final answer:** Slope = $-3$, y-intercept = $6$.