1. **State the problem:** We are given the linear equation $y = 2x + 3$ and asked to find the value of $y$ when $x = 2$. 2. **Formula used:** The equation is already in slope-intercept form $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Substitute the value of $x$:** Replace $x$ with 2 in the equation: $$y = 2(2) + 3$$ 4. **Calculate:** $$y = 4 + 3$$ 5. **Simplify:** $$y = 7$$ 6. **Interpretation:** When $x = 2$, the value of $y$ on the line $y = 2x + 3$ is 7. **Final answer:** $y = 7$