Question

Find the midpoint of the segment with the following endpoints.
(4,6) and (7,2)

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:

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

Given the endpoints \((4, 6)\) and \((7, 2)\), we have:

- \(x_1 = 4\)
- \(y_1 = 6\)
- \(x_2 = 7\)
- \(y_2 = 2\)

Now we can substitute these values into the formula:

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

Calculating the x-coordinate:

\[
\frac{4 + 7}{2} = \frac{11}{2} = 5.5
\]

Calculating the y-coordinate:

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

Therefore, the midpoint of the segment is:

\[
\left( 5.5, 4 \right)
\]