The function $f(x) = -x + 1$ represents a straight line with the following characteristics:

1. Slope: The slope of the line is $-1$, meaning the line decreases at a 45-degree angle as $x$ increases.
2. Y-intercept: The y-intercept is $1$, so the line crosses the y-axis at $(0, 1)$.

Steps to Graph:

1. Start at the y-intercept $(0, 1)$.
2. Use the slope $-1$: go down 1 unit for every 1 unit you move to the right (or up 1 unit for every 1 unit to the left).
3. Plot these points and draw a straight line through them.

Would you like me to create a visual representation of this graph?