1. **State the problem:** We are given the function $f(x) = 5 - 2x$ and want to understand its properties. 2. **Formula and rules:** This is a linear function of the form $f(x) = mx + b$ where $m$ is the slope and $b$ is the y-intercept. 3. **Identify slope and intercept:** Here, $m = -2$ and $b = 5$. The slope $-2$ means the function decreases by 2 units for every 1 unit increase in $x$. 4. **Find x-intercept:** Set $f(x) = 0$ to find where the graph crosses the x-axis: $$0 = 5 - 2x$$ $$2x = 5$$ $$x = \frac{5}{2} = 2.5$$ 5. **Find y-intercept:** This is the value of $f(x)$ when $x=0$: $$f(0) = 5 - 2 \times 0 = 5$$ 6. **Summary:** The function decreases linearly with slope $-2$, crosses the y-axis at $(0,5)$, and crosses the x-axis at $(2.5,0)$. **Final answer:** $f(x) = 5 - 2x$ is a linear function with slope $-2$, y-intercept $5$, and x-intercept $2.5$.