1. **Problem:** Graph the linear equation $y=2x+2$. 2. **Formula:** The slope-intercept form of a line is $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Identify slope and intercept:** Here, $m=2$ and $b=2$. This means the line crosses the y-axis at $(0,2)$ and rises 2 units for every 1 unit it moves to the right. 4. **Plot points:** Start at $(0,2)$. 5. Move right 1 unit to $x=1$, then up 2 units to $y=4$, so plot $(1,4)$. 6. Draw a straight line through these points to graph $y=2x+2$. This completes the graphing of the first linear equation. Final answer: The graph of $y=2x+2$ is a straight line with slope 2 and y-intercept 2.