1. **State the problem:** We need to sketch the graph of the linear function $f(x) = -3x + 2$ using the slope and one point method. 2. **Recall the formula:** A linear function can be written as $f(x) = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Identify slope and point:** Here, the slope $m = -3$ and the y-intercept (point where the graph crosses the y-axis) is $(0, 2)$. 4. **Plot the point:** Start by plotting the point $(0, 2)$ on the coordinate plane. 5. **Use the slope:** The slope $-3$ means for every 1 unit increase in $x$, $y$ decreases by 3 units. 6. **Find another point:** From $(0, 2)$, move right 1 unit to $x=1$, then down 3 units to $y = 2 - 3 = -1$. So another point is $(1, -1)$. 7. **Draw the line:** Connect the points $(0, 2)$ and $(1, -1)$ with a straight line extending in both directions. 8. **Final answer:** The graph is a straight line passing through $(0, 2)$ with slope $-3$. This method uses the slope and one point to accurately sketch the linear function.