1. **State the problem:** We need to find the equation of a line given its x-intercept is 2 and y-intercept is 2. 2. **Recall the intercept form of a line:** The equation of a line with x-intercept $a$ and y-intercept $b$ is given by $$\frac{x}{a} + \frac{y}{b} = 1$$ 3. **Substitute the given intercepts:** Here, $a=2$ and $b=2$, so $$\frac{x}{2} + \frac{y}{2} = 1$$ 4. **Simplify the equation:** Multiply both sides by 2 to clear denominators: $$2 \times \left(\frac{x}{2} + \frac{y}{2}\right) = 2 \times 1$$ $$\cancel{2} \times \left(\frac{x}{\cancel{2}} + \frac{y}{\cancel{2}}\right) = 2$$ $$x + y = 2$$ 5. **Rewrite in slope-intercept form:** $$y = 2 - x$$ 6. **Interpretation:** This line crosses the x-axis at (2,0) and the y-axis at (0,2), matching the given intercepts. **Final answer:** $$y = 2 - x$$