1. The problem asks to label each point on a vertical number line using rational numbers. 2. The number line has marks at 2 and 3, which are integers and also rational numbers since any integer $n$ can be written as $\frac{n}{1}$. 3. Points between 2 and 3 can be labeled with rational numbers such as $\frac{5}{2}$ (which is 2.5), $\frac{7}{3}$ (approximately 2.33), etc. 4. Points above 3 can be labeled with rational numbers greater than 3, for example, $\frac{10}{3}$ (approximately 3.33), $\frac{7}{2}$ (3.5), etc. 5. To label any point on the number line, express its value as a fraction $\frac{a}{b}$ where $a$ and $b$ are integers and $b \neq 0$. 6. This shows that every point on the number line can be represented by a rational number. Final answer: Each point on the number line can be labeled by a rational number $\frac{a}{b}$ where $a,b \in \mathbb{Z}$ and $b \neq 0$.