1. **State the problem:** Simplify or analyze the expression $2x + 1$. 2. **Understand the expression:** This is a linear expression in terms of $x$, where $2$ is the coefficient of $x$ and $1$ is the constant term. 3. **Formula and rules:** For linear expressions of the form $ax + b$, the graph is a straight line with slope $a$ and y-intercept $b$. 4. **Intermediate work:** The expression is already simplified as $2x + 1$. 5. **Explanation:** This expression represents a line where for every increase of 1 in $x$, the value of the expression increases by 2. The line crosses the y-axis at 1. 6. **Final answer:** The expression is $2x + 1$ and represents a linear function with slope 2 and y-intercept 1.