Question

find the slope of the line.

\\2y - 3x + 2 = 0\\

write your answer in simplest form.

Explanation:

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</pre_analysis>

<reasoning>

Isolate the y-term

\[
2y = 3x - 2
\]

Solve for y

\[
y = \frac{3}{2}x - 1
\]

Identify the slope

\[
m = \frac{3}{2}
\]
</reasoning>

<answer>
Find the slope of the line.
\(2y - 3x + 2 = 0\)
Write your answer in simplest form.
<blank>\(\frac{3}{2}\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Slope-Intercept Form"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
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"step_cot",
"blank_filling_formatter",
"explain_then_answer",
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"Slope-Intercept Form",
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],
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"Slope of a Line"
]
}
</pre_analysis>

<reasoning>

Isolate the y-term

\[
2y = 3x - 2
\]

Solve for y

\[
y = \frac{3}{2}x - 1
\]

Identify the slope

\[
m = \frac{3}{2}
\]
</reasoning>

<answer>
Find the slope of the line.
\(2y - 3x + 2 = 0\)
Write your answer in simplest form.
<blank>\(\frac{3}{2}\)</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Slope-Intercept Form"
]
}
</post_analysis>