We are given the coordinates of two points, $C(4, 10)$ and $D(20, 18)$. We are also told that $M$ is the midpoint of the line segment $CD$. We need to find the coordinates of point $M$.

1. Problem Description

We are given the coordinates of two points, $C(4, 10)$ and $D(20, 18)$. We are also told that $M$ is the midpoint of the line segment $CD$. We need to find the coordinates of point $M$.

2. Solution Steps

The midpoint formula is given by:

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

where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two endpoints of the line segment.

In this case, $C(4, 10)$ corresponds to $(x_1, y_1)$ and $D(20, 18)$ corresponds to $(x_2, y_2)$.

Therefore, $x_1 = 4$, $y_1 = 10$, $x_2 = 20$, and $y_2 = 18$.

Substituting these values into the midpoint formula, we have:

$M = (\frac{4 + 20}{2}, \frac{10 + 18}{2})$

$M = (\frac{24}{2}, \frac{28}{2})$

$M = (12, 14)$

3. Final Answer

The coordinates of point $M$ are $(12, 14)$.