A line segment has the endpoints U(5, 7) and V(7, 9). Find the coordinates of its midpoint M.

Write the coordinates as decimals or integers.


To find the coordinates of the midpoint \( M \) of a 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 \( U(5, 7) \) and \( V(7, 9) \):

\[
M = \left( \frac{5 + 7}{2}, \frac{7 + 9}{2} \right)
\]

\[
M = \left( \frac{12}{2}, \frac{16}{2} \right)
\]

\[
M = (6, 8)
\]

So, the coordinates of the midpoint \( M \) are \( \mathbf{(6, 8)} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the distance between two points in a coordinate plane?
2. What is the formula for the slope of a line segment between two points?
3. How do you determine if two segments are congruent?
4. Can you find the equation of the line passing through points U and V?
5. What would the midpoint be if U and V were in 3D space?

**Tip:** Remember, the midpoint of a line segment divides it into two equal parts.

Learn how to find the midpoint of a line segment with endpoints U(5, 7) and V(7, 9) using the midpoint formula. This problem involves basic coordinate geometry concepts. Suitable for students in Grades 6-8.

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