We are given the coordinates of two points, $C(22, 16)$ and $D(10, 26)$, and we need to find the coordinates of the midpoint of the line segment $CD$.

1. Problem Description

We are given the coordinates of two points, $C(22, 16)$ and $D(10, 26)$, and we need to find the coordinates of the midpoint of the line segment $CD$.

2. Solution Steps

The midpoint formula is given by:

$$M = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$$

where $M$ is the midpoint and $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two endpoints.

Let $C(22, 16)$ be $(x_1, y_1)$ and $D(10, 26)$ be $(x_2, y_2)$. Then:

$x_1 = 22$, $y_1 = 16$

$x_2 = 10$, $y_2 = 26$

The x-coordinate of the midpoint is:

$\frac{x_1 + x_2}{2} = \frac{22 + 10}{2} = \frac{32}{2} = 16$

The y-coordinate of the midpoint is:

$\frac{y_1 + y_2}{2} = \frac{16 + 26}{2} = \frac{42}{2} = 21$

Therefore, the coordinates of the midpoint are $(16, 21)$.

3. Final Answer

The coordinates of the midpoint of line $CD$ are $(16, 21)$.