1. **State the problem:** Write the equation of a line in slope-intercept form given the slope and y-intercept. 2. **Recall the formula:** The slope-intercept form 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:** $$y = 1x + (-2)$$ which simplifies to $$y = x - 2$$ 5. **Interpretation:** This means the line crosses the y-axis at $-2$ and rises one unit vertically for every one unit it moves horizontally.