Find the midpoint of the segment with the following endpoints.
left parenthesis, minus, 2, comma, 7, right parenthesis, and , left parenthesis, 6, comma, 3, right parenthesis
(−2,7) and (6,3)

To find the midpoint of a line segment with endpoints \((-2, 7)\) and \((6, 3)\), we use the midpoint formula:

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

Here:
- \(x_1 = -2\), \(y_1 = 7\)
- \(x_2 = 6\), \(y_2 = 3\)

Now, applying the formula:

\[
\text{Midpoint} = \left( \frac{-2 + 6}{2}, \frac{7 + 3}{2} \right)
\]
\[
\text{Midpoint} = \left( \frac{4}{2}, \frac{10}{2} \right)
\]
\[
\text{Midpoint} = (2, 5)
\]

So, the midpoint of the segment is \((2, 5)\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the midpoint of three-dimensional coordinates?
2. What is the distance between two points in a coordinate plane?
3. Can a midpoint have decimal values?
4. How do you calculate the length of a line segment with given endpoints?
5. What are some real-life applications of midpoint calculations?

**Tip:** The midpoint always lies exactly halfway between two points on a line segment.

Find the midpoint of the segment with the following endpoints: (-2, 7) and (6, 3).

Learn how to calculate the midpoint of the segment with endpoints (-2, 7) and (6, 3) using the midpoint formula. This problem focuses on coordinate geometry concepts and is ideal for students in Grades 6-8.

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