1. **State the problem:** We need to graph the inequality $$y \geq -\frac{1}{2}x - 2$$ on the coordinate plane. 2. **Understand the inequality:** This inequality represents all points $$ (x,y) $$ where the value of $$ y $$ is greater than or equal to the line $$ y = -\frac{1}{2}x - 2 $$. The line itself is included because of the $ \geq $ symbol. 3. **Identify the line equation:** The boundary line is $$ y = -\frac{1}{2}x - 2 $$. It has a slope $$ m = -\frac{1}{2} $$ and a y-intercept $$ b = -2 $$. 4. **Plot the boundary line:** - Start at the y-intercept (0, -2). - Use the slope to find another point: from (0, -2), go down 1 unit and right 2 units to (2, -3). 5. **Determine the shading region:** Since the inequality is $$ y \geq -\frac{1}{2}x - 2 $$, shade the region above the line including the line itself. 6. **Summary:** The graph consists of the line $$ y = -\frac{1}{2}x - 2 $$ and the area above it on the coordinate plane.