Question

find the midpoint of the segment with the given endpoints:
(-3, -1), (-1, 9)

midpoint = ( , )

Explanation:

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<reasoning>

Identify the given endpoints

\[
(x_1, y_1) = (-3, -1),\quad (x_2, y_2) = (-1, 9)
\]

Apply the midpoint formula

\[

$$\begin{aligned} x_m &= \frac{x_1 + x_2}{2} = \frac{-3 + (-1)}{2} = \frac{-4}{2} = -2 \\ y_m &= \frac{y_1 + y_2}{2} = \frac{-1 + 9}{2} = \frac{8}{2} = 4 \end{aligned}$$

\]

State the midpoint coordinates

\[
(x_m, y_m) = (-2, 4)
\]
</reasoning>

<answer>
Find the midpoint of the segment with the given endpoints:
\((-3, -1)\), \((-1, 9)\)

Midpoint = ( <blank>-2</blank> , <blank>4</blank> )
</answer>

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"Mathematics",
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Answer:

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<reasoning>

Identify the given endpoints

\[
(x_1, y_1) = (-3, -1),\quad (x_2, y_2) = (-1, 9)
\]

Apply the midpoint formula

\[

$$\begin{aligned} x_m &= \frac{x_1 + x_2}{2} = \frac{-3 + (-1)}{2} = \frac{-4}{2} = -2 \\ y_m &= \frac{y_1 + y_2}{2} = \frac{-1 + 9}{2} = \frac{8}{2} = 4 \end{aligned}$$

\]

State the midpoint coordinates

\[
(x_m, y_m) = (-2, 4)
\]
</reasoning>

<answer>
Find the midpoint of the segment with the given endpoints:
\((-3, -1)\), \((-1, 9)\)

Midpoint = ( <blank>-2</blank> , <blank>4</blank> )
</answer>

<post_analysis>
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"Mathematics",
"Geometry",
"Midpoint Formula"
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