1. The problem is to solve the equation $y = 2x + 3$ for $y$ given $x$. 2. The formula used here is the equation of a straight line in slope-intercept form: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. In this equation, $m = 2$ and $b = 3$. This means the line crosses the y-axis at 3 and rises 2 units vertically for every 1 unit it moves horizontally. 4. To find $y$ for a specific $x$, substitute the value of $x$ into the equation and simplify. 5. For example, if $x = 1$, then $$y = 2(1) + 3 = 2 + 3 = 5$$. 6. This process can be repeated for any value of $x$ to find the corresponding $y$ value on the line. Final answer: The function is $y = 2x + 3$ and for any $x$, $y$ can be calculated by substituting $x$ into this formula.