Question

find the midpoint of the segment with the following endpoints
(3,-10) and (-2,-5)

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:

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

For the endpoints \((3, -10)\) and \((-2, -5)\):

- \(x_1 = 3\)
- \(y_1 = -10\)
- \(x_2 = -2\)
- \(y_2 = -5\)

Now, substitute these values into the midpoint formula:

\[
\text{Midpoint} = \left( \frac{3 + (-2)}{2}, \frac{-10 + (-5)}{2} \right)
\]

Calculate the x-coordinate:

\[
\frac{3 - 2}{2} = \frac{1}{2} = 0.5
\]

Calculate the y-coordinate:

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

So, the midpoint of the segment is

\[
\left( 0.5, -7.5 \right)
\]