\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
]

The formula you've written is the **midpoint formula**. It is used to find the point exactly halfway between two given points \((x_1, y_1)\) and \((x_2, y_2)\) on a coordinate plane.

The formula is:

\[
\text{Midpoint} = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

### Explanation:
- \(x_1, y_1\) are the coordinates of the first point.
- \(x_2, y_2\) are the coordinates of the second point.
- The midpoint is the average of the \(x\)-coordinates and the \(y\)-coordinates of the two points.

### Example:
If the points are \((2, 3)\) and \((8, 7)\), the midpoint is:

\[
\text{Midpoint} = \left( \frac{2 + 8}{2}, \frac{3 + 7}{2} \right) = \left( \frac{10}{2}, \frac{10}{2} \right) = (5, 5)
\]

Would you like more details or have any questions?

Here are 5 relative questions for further understanding:
1. How do you find the midpoint if the coordinates include negative numbers?
2. What is the geometric significance of a midpoint in a line segment?
3. Can the midpoint formula be applied in three dimensions, and how?
4. How can you use the midpoint formula to find the center of a line segment in a triangle?
5. What is the relationship between the midpoint and the distance formula?

**Tip:** The midpoint formula works on any line segment, no matter how steep or flat the line is.

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

Discover how to use the midpoint formula to find the point halfway between two coordinates in a step-by-step example. Learn about key concepts in geometry, such as the midpoint and its significance. This lesson is ideal for students in Grades 6-8.

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