Question

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

Answer 1

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

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

In this case, the endpoints are \((-2, 7)\) and \((6, 3)\). So, we have:

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

Now, applying the midpoint formula:

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

Calculating the x-coordinate:

\[
\frac{-2 + 6}{2} = \frac{4}{2} = 2
\]

Calculating the y-coordinate:

\[
\frac{7 + 3}{2} = \frac{10}{2} = 5
\]

Thus, the midpoint of the segment is:

\[
\boxed{(2, 5)}
\]