To determine the coordinates of the midpoint between two points, you need to average their x-coordinates and y-coordinates.

The midpoint of a line segment is defined as the point that lies exactly halfway between its two endpoints. Given two points, $(x_1, y_1)$ and $(x_2, y_2)$, you can calculate the midpoint using the midpoint formula:

In this formula, you add the x-coordinates of the two points together and then divide by $2$ to find the x-coordinate of the midpoint. Similarly, you add the y-coordinates together and divide by $2$ to find the y-coordinate of the midpoint.

For example, consider the points $(2, 3)$ and $(4, 7)$. The steps to calculate the midpoint are as follows:

1. Add the x-coordinates: $2 + 4 = 6$
2. Divide by $2$: $\frac{6}{2} = 3$

Thus, the x-coordinate of the midpoint is $3$.

3. Add the y-coordinates: $3 + 7 = 10$
4. Divide by $2$: $\frac{10}{2} = 5$

Consequently, the y-coordinate of the midpoint is $5$.

Therefore, the coordinates of the midpoint are $(3, 5)$.

This method is applicable for any pair of points in a two-dimensional plane and is an essential concept in coordinate geometry. It has various applications, such as finding the center of a line segment or dividing a line segment into equal parts.