A line segment has the endpoints *R*(2, 9) and *S*(4, 1). Find the coordinates of its midpoint *M*.

*Write the coordinates as decimals or integers.*



*M* = (, )

The midpoint \( M \) of a line segment with endpoints \( R(x_1, y_1) \) and \( S(x_2, y_2) \) can be found using the midpoint formula:

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

Given:
- \( R(2, 9) \)
- \( S(4, 1) \)

Substitute the coordinates of \( R \) and \( S \) into the formula:

\[
M = \left( \frac{2 + 4}{2}, \frac{9 + 1}{2} \right)
\]

Simplify the calculations:

\[
M = \left( \frac{6}{2}, \frac{10}{2} \right) = (3, 5)
\]

Thus, the coordinates of the midpoint \( M \) are:

\[
M = (3, 5)
\]

Do you want details or have any questions?

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Here are 5 related questions:

1. How do you find the distance between two points on a coordinate plane?
2. What is the slope of the line through points \( R(2, 9) \) and \( S(4, 1) \)?
3. Can you explain the geometric meaning of the midpoint?
4. How do you determine the equation of the line passing through points \( R \) and \( S \)?
5. What is the length of the line segment joining points \( R \) and \( S \)?

**Tip:** The midpoint of a line segment divides it into two equal parts.

A line segment has the endpoints R(2, 9) and S(4, 1). Find the coordinates of its midpoint M. Write the coordinates as decimals or integers. M = (, )

Learn how to find the midpoint of a line segment with endpoints R(2, 9) and S(4, 1) using the midpoint formula. This problem covers fundamental concepts of coordinate geometry, suitable for students in Grades 6-8.

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