find the midpoint of the segment with the following end points 0,3 and 8,-1

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.

Learn how to find the midpoint of a segment with endpoints (0, 3) and (8, -1) using the midpoint formula. This problem covers key geometry concepts suitable for students in Grades 6-8. Step-by-step explanation provided.

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