Inequality Slope 190Fd0

1. **State the problem:** We need to write the inequality $x - y \geq -2$ in slope-intercept form. 2. **Recall the slope-intercept form:** The slope-intercept form of a linear equation or inequality is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Rewrite the inequality:** Starting with $$x - y \geq -2$$ we want to isolate $y$ on one side. 4. **Subtract $x$ from both sides:** $$x - y - x \geq -2 - x$$ which simplifies to $$-y \geq -2 - x$$ 5. **Multiply both sides by $-1$ to solve for $y$:** Remember, multiplying an inequality by a negative number reverses the inequality sign. $$\cancel{-1} \times -y \leq \cancel{-1} \times (-2 - x)$$ which gives $$y \leq 2 + x$$ 6. **Rewrite in slope-intercept form:** $$y \leq x + 2$$ **Final answer:** The inequality in slope-intercept form is $$y \leq x + 2$$.