1. **State the problem:** Write the equation of a line in slope-intercept form given the slope and y-intercept. 2. **Recall the slope-intercept form:** The equation of a line is given by $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Substitute the given values:** Here, slope $m = 1$ and y-intercept $b = 2$. 4. **Write the equation:** Substitute $m$ and $b$ into the formula: $$y = 1 \cdot x + 2$$ 5. **Simplify:** $$y = x + 2$$ **Final answer:** The slope-intercept form of the line is $$y = x + 2$$.