Question

Find the midpoint of the segment with the following endpoints.
(−1,2) and (8,6)

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:

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

Given the endpoints \((-1, 2)\) and \((8, 6)\), we have:

- \(x_1 = -1\)
- \(y_1 = 2\)
- \(x_2 = 8\)
- \(y_2 = 6\)

Now, substitute these values into the midpoint formula:

\[
\text{Midpoint} = \left( \frac{-1 + 8}{2}, \frac{2 + 6}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{-1 + 8}{2} = \frac{7}{2} = 3.5
\]

Calculating the y-coordinate:

\[
\frac{2 + 6}{2} = \frac{8}{2} = 4
\]

Thus, the midpoint of the segment is:

\[
\left( 3.5, 4 \right)
\]