1. **State the problem:** Find the maximum and minimum points of the function $y = -4x + 6$. 2. **Formula and rules:** This is a linear function of the form $y = mx + b$, where $m = -4$ and $b = 6$. 3. **Important rule:** Linear functions have no maximum or minimum points because their graphs are straight lines with constant slope. 4. **Intermediate work:** Since the slope $m = -4$ is negative, the function decreases continuously as $x$ increases. 5. **Conclusion:** There are no maximum or minimum points for $y = -4x + 6$ because it is a straight line without any turning points.