Question

Find the midpoint of the segment with the following endpoints.
(6,7) and (1,4)

Answer 1

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

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

For the given endpoints \((6, 7)\) and \((1, 4)\):

- \(x_1 = 6\), \(y_1 = 7\)
- \(x_2 = 1\), \(y_2 = 4\)

Now, plug the values into the formula:

\[
\text{Midpoint} = \left( \frac{6 + 1}{2}, \frac{7 + 4}{2} \right) = \left( \frac{7}{2}, \frac{11}{2} \right)
\]

Therefore, the midpoint of the segment with the endpoints \((6, 7)\) and \((1, 4)\) is

\[
\left( \frac{7}{2}, \frac{11}{2} \right)
\]

or in decimal form,
\[
(3.5, 5.5).
\]