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Write the coordinates as decimals or integers.

The problem provided asks for the coordinates of the midpoint \( M \) of a line segment with endpoints \( (7, 1) \) and \( (9, 7) \).

To find the midpoint \( M \), we use the midpoint formula:

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

Substitute the given coordinates:

\[
M = \left(\frac{7 + 9}{2}, \frac{1 + 7}{2}\right)
\]

This simplifies to:

\[
M = \left(\frac{16}{2}, \frac{8}{2}\right)
\]

\[
M = (8, 4)
\]

So, the coordinates of the midpoint \( M \) are \( \boxed{(8, 4)} \).

Would you like more details or have any questions?

Here are 8 related questions you might find helpful:

1. What if the endpoints of the line segment were negative? How would that affect the midpoint?
2. How do you derive the midpoint formula from the concept of averages?
3. What is the importance of the midpoint in the context of dividing a line segment?
4. How can you use the midpoint to find the length of a line segment?
5. What are the steps to find the midpoint in three-dimensional space?
6. How is the midpoint used in constructing perpendicular bisectors?
7. Can the midpoint formula be applied to find the center of a circle?
8. How do you find the coordinates of a point that divides a line segment into a specific ratio?

**Tip:** Practice plotting points and their midpoints on graph paper to get a visual understanding of how the midpoint divides a line segment into two equal parts.

Learn how to calculate the coordinates of the midpoint of a line segment using the midpoint formula. Detailed step-by-step solution provided for finding the midpoint of a line segment with endpoints at (7, 1) and (9, 7). Suitable for high school students studying coordinate geometry.

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