Question

Find the midpoint of the segment with the following endpoints.
(7,5) and (0,10)

Answer 1

To find the midpoint of a line segment defined by two 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 \((7, 5)\) and \((0, 10)\), we have:

- \(x_1 = 7\)
- \(y_1 = 5\)
- \(x_2 = 0\)
- \(y_2 = 10\)

Now substitute these values into the midpoint formula:

\[
\text{Midpoint} = \left( \frac{7 + 0}{2}, \frac{5 + 10}{2} \right)
\]

Calculating the x-coordinate:

\[
\frac{7 + 0}{2} = \frac{7}{2} = 3.5
\]

Calculating the y-coordinate:

\[
\frac{5 + 10}{2} = \frac{15}{2} = 7.5
\]

Therefore, the midpoint of the segment is:

\[
\left( 3.5, 7.5 \right)
\]