Question

Find the midpoint of the segment with the following endpoints.
(−8,9) and (−2,3)

Answer 1

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

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

In this case, the endpoints are \((x_1, y_1) = (-8, 9)\) and \((x_2, y_2) = (-2, 3)\).

Now, plug these values into the formula:

1. For the x-coordinate:
\[
\frac{-8 + (-2)}{2} = \frac{-8 - 2}{2} = \frac{-10}{2} = -5
\]

2. For the y-coordinate:
\[
\frac{9 + 3}{2} = \frac{12}{2} = 6
\]

Thus, the midpoint of the segment is:

\[
\boxed{(-5, 6)}
\]