Question

find the slope of the segment.

\\(m = \\)

Explanation:

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<reasoning>

Identify the coordinates of the segment endpoints

\[
(x_1, y_1) = (-5, -2)
\]
\[
(x_2, y_2) = (3, -4)
\]

Apply the slope formula

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
\[
m = \frac{-4 - (-2)}{3 - (-5)}
\]

Simplify the expression

\[
m = \frac{-2}{8} = -\frac{1}{4}
\]
</reasoning>

<answer>
Find the slope of the segment.

\(m =\) <blank>\(-\frac{1}{4}\)</blank>
</answer>

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"question_type": "Fill-in-the-blank",
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"Slope Formula"
]
}
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Answer:

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</pre_analysis>

<reasoning>

Identify the coordinates of the segment endpoints

\[
(x_1, y_1) = (-5, -2)
\]
\[
(x_2, y_2) = (3, -4)
\]

Apply the slope formula

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
\[
m = \frac{-4 - (-2)}{3 - (-5)}
\]

Simplify the expression

\[
m = \frac{-2}{8} = -\frac{1}{4}
\]
</reasoning>

<answer>
Find the slope of the segment.

\(m =\) <blank>\(-\frac{1}{4}\)</blank>
</answer>

<post_analysis>
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"knowledge_point": [
"Mathematics",
"Geometry",
"Slope Formula"
]
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