Question

Find the midpoint of the segment with the following endpoints.
(3,1) and (9,7)

Answer 1

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

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

Given the endpoints \((3, 1)\) and \((9, 7)\):

- \(x_1 = 3\), \(y_1 = 1\)
- \(x_2 = 9\), \(y_2 = 7\)

Now, plug in these values into the formula:

\[
\text{Midpoint} = \left(\frac{3 + 9}{2}, \frac{1 + 7}{2}\right)
\]
\[
= \left(\frac{12}{2}, \frac{8}{2}\right)
\]
\[
= (6, 4)
\]

Thus, the midpoint of the segment with endpoints \((3, 1)\) and \((9, 7)\) is \((6, 4)\).