To find the midpoint of a segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$, we use the midpoint formula:

$\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)$

Given the points $(0, 3)$ and $(8, -1)$:

1. The $x$-coordinate of the midpoint is:

$\frac{0 + 8}{2} = \frac{8}{2} = 4$

2. The $y$-coordinate of the midpoint is:

$\frac{3 + (-1)}{2} = \frac{2}{2} = 1$

Thus, the midpoint is $(4, 1)$.

Would you like further details or have any questions?

Here are some related questions to practice:

1. What is the distance between the points $(0, 3)$ and $(8, -1)$?
2. Find the midpoint of the segment with endpoints $(2, 5)$ and $(-4, -7)$.
3. How does the midpoint formula change for 3D points?
4. If one endpoint is $(3, 2)$ and the midpoint is $(5, 6)$, what is the other endpoint?
5. Explain how the midpoint formula relates to the average of coordinates.

Tip: The midpoint formula essentially finds the average of the coordinates of the two points.