RS has endpoints at R(2, 7) and S(10, 9). Find the midpoint M of RS.

Write the coordinates as decimals or integers.

To find the midpoint \( M \) of a line segment with endpoints \( R(x_1, y_1) \) and \( S(x_2, y_2) \), you can use the midpoint formula:

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

Given the endpoints \( R(2, 7) \) and \( S(10, 9) \), substitute these values into the formula:

\[
M = \left(\frac{2 + 10}{2}, \frac{7 + 9}{2}\right)
\]

Simplify the calculations:

\[
M = \left(\frac{12}{2}, \frac{16}{2}\right) = (6, 8)
\]

So, the midpoint \( M \) of \( RS \) is \( \mathbf{(6, 8)} \).

Would you like more details or have any questions?

Here are some related questions you might find helpful:
1. How do you find the length of the segment RS?
2. What is the slope of the line passing through R and S?
3. How would the midpoint change if one of the coordinates were negative?
4. Can you generalize the midpoint formula for 3-dimensional space?
5. How do you derive the midpoint formula?

**Tip:** The midpoint formula is particularly useful in geometry problems involving bisectors and symmetry.

Learn how to find the midpoint of a line segment with endpoints (2, 7) and (10, 9) using the midpoint formula. This problem covers basic concepts in coordinate geometry and is suitable for students in Grades 6-8.

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