1. **State the problem:** We need to find the slope of a line given its x-intercept is 2 and y-intercept is -2, and write the equation in slope-intercept form $y = mx + b$. 2. **Recall the slope-intercept form:** The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Identify given values:** The y-intercept $b = -2$ (given). 4. **Use the x-intercept to find the slope:** The x-intercept is the point where $y=0$, so at $x=2$, $y=0$. 5. **Substitute the point $(2,0)$ and $b=-2$ into the equation:** $$0 = m \times 2 + (-2)$$ 6. **Solve for $m$:** $$0 = 2m - 2$$ $$2 = 2m$$ $$m = \frac{2}{2}$$ $$m = 1$$ 7. **Write the final equation:** $$y = 1x - 2$$ **Answer:** The slope is $1$, so the equation is $y = x - 2$.