Question: Find the area of the region in the coordinate plane bounded by the coordinate axes and lines $x = 2$ and $y = 3$.
1. **State the problem:**
We need to find the area of the region bounded by the coordinate axes (the $x$-axis and $y$-axis) and the vertical line $x = 2$ and horizontal line $y = 3$.
2. **Visualize the region:**
The region is a rectangle formed by the points $(0,0)$, $(2,0)$, $(2,3)$, and $(0,3)$.
3. **Formula for area of a rectangle:**
$$\text{Area} = \text{width} \times \text{height}$$
4. **Identify width and height:**
- Width is the distance along the $x$-axis from $0$ to $2$, so width = $2$.
- Height is the distance along the $y$-axis from $0$ to $3$, so height = $3$.
5. **Calculate the area:**
$$\text{Area} = 2 \times 3 = 6$$
6. **Answer:**
The area of the region is $6$ square units.