U(7, 1) and V(3, 1) are the endpoints of a line segment. What is the midpoint M of that line segment?

Write the coordinates as decimals or integers.

To find the midpoint \( M \) of the line segment with endpoints \( U(x_1, y_1) \) and \( V(x_2, y_2) \), you use the midpoint formula:

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

Given \( U(7, 1) \) and \( V(3, 1) \):

\[
M = \left( \frac{7 + 3}{2}, \frac{1 + 1}{2} \right)
\]

\[
M = \left( \frac{10}{2}, \frac{2}{2} \right)
\]

\[
M = (5, 1)
\]

So, the coordinates of the midpoint \( M \) are \( \mathbf{(5, 1)} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you calculate the length of the line segment between points \( U \) and \( V \)?
2. What is the slope of the line segment between \( U \) and \( V \)?
3. How would the midpoint formula change if the points were in 3D space?
4. If the midpoint is known, how can you find one of the endpoints?
5. What is the equation of the line passing through points \( U \) and \( V \)?

**Tip:** For a horizontal line segment, the y-coordinate of the midpoint is the same as the y-coordinates of the endpoints.

Learn how to find the midpoint of a line segment with endpoints U(7, 1) and V(3, 1) using the midpoint formula. This problem covers coordinate geometry concepts and the midpoint formula. Suitable for students in Grades 7-9.

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