1. **State the problem:** We are given the linear function $y = 2x + 3$ and asked to find the value of $y$ when $x = 2$. 2. **Formula used:** The function is already given as $y = 2x + 3$. This is a linear equation where the slope is 2 and the y-intercept is 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. 6. **Graph explanation:** The graph of $y = 2x + 3$ is a straight line with slope 2, meaning it rises 2 units vertically for every 1 unit it moves horizontally. It crosses the y-axis at 3, which is the y-intercept. **Final answer:** $y = 7$ when $x = 2$.