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To find the midpoint \( M \) of a line segment with endpoints \( S(1, 6) \) and \( T(1, 8) \), we can use the midpoint formula:

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

Given:
- \( S(1, 6) \) where \( x_1 = 1 \) and \( y_1 = 6 \)
- \( T(1, 8) \) where \( x_2 = 1 \) and \( y_2 = 8 \)

Now, applying the formula:

\[
M_x = \frac{1 + 1}{2} = \frac{2}{2} = 1
\]
\[
M_y = \frac{6 + 8}{2} = \frac{14}{2} = 7
\]

Thus, the midpoint \( M \) is:

\[
M = (1, 7)
\]

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How do you find the distance between two points?
2. What is the slope of the line through points \( S(1, 6) \) and \( T(1, 8) \)?
3. How do you find the equation of the line passing through two given points?
4. What is the significance of the midpoint in geometry?
5. How can you apply the midpoint formula in 3-dimensional space?

**Tip:** The midpoint formula is very useful in coordinate geometry to find the center point between two locations on a line segment.

S(1, 6) and T(1, 8) are the endpoints of a line segment. What is the midpoint M of that line segment?

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

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