1. The problem is to graph the linear equation $y = \frac{1}{2}x + 2$. 2. The general form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. Here, the slope $m = \frac{1}{2}$ and the y-intercept $b = 2$. 4. To graph, start at the point $(0, 2)$ on the y-axis. 5. From this point, use the slope to find another point: rise over run means go up 1 unit and right 2 units to reach $(2, 3)$. 6. Plot these points and draw a straight line through them to represent the equation. Final answer: The graph is a straight line passing through $(0, 2)$ and $(2, 3)$ with slope $\frac{1}{2}$.