1. **State the problem:** Given the linear function $y = 2x + 3$, find the value of $y$ when $x = 2$. 2. **Formula used:** The function is already given as $y = 2x + 3$. 3. **Substitute the 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 $y$ is 7. This matches the point (2, 7) on the graph, confirming the calculation is correct.