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 given value:** Replace $x$ with 2 in the equation: $$y = 2(2) + 3$$ 4. **Calculate:** $$y = 4 + 3 = 7$$ 5. **Interpretation:** When $x = 2$, the value of $y$ on the line $y = 2x + 3$ is 7. This corresponds to the point $(2,7)$, which is the intersection of the red dashed vertical line at $x=2$ and the black line. **Final answer:** $y = 7$ when $x = 2$.