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find the slope of the line joining two points (3, 0) and (0, 7). -7/3 3…

Question

find the slope of the line joining two points (3, 0) and (0, 7).

-7/3
3/7

Explanation:

Response

<pre_analysis>
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"concepts_used": [
"Slope of a Linear Function"
],
"new_concepts": [],
"current_concepts": [
"Slope of a Linear Function"
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}
</pre_analysis>

<reasoning>

Identify the given coordinates

\[
(x_1, y_1) = (3, 0),\quad (x_2, y_2) = (0, 7)
\]

Apply the slope formula

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Calculate the slope value

\[
m = \frac{7 - 0}{0 - 3} = \frac{7}{-3} = -\frac{7}{3}
\]
</reasoning>

<answer>
<mcq-correct>(A) \(-7/3\)</mcq-correct>
<mcq-option>(B) \(3/7\)</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Geometry",
"Slope of a Linear Function"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Slope of a Linear Function"
],
"new_concepts": [],
"current_concepts": [
"Slope of a Linear Function"
]
}
</pre_analysis>

<reasoning>

Identify the given coordinates

\[
(x_1, y_1) = (3, 0),\quad (x_2, y_2) = (0, 7)
\]

Apply the slope formula

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Calculate the slope value

\[
m = \frac{7 - 0}{0 - 3} = \frac{7}{-3} = -\frac{7}{3}
\]
</reasoning>

<answer>
<mcq-correct>(A) \(-7/3\)</mcq-correct>
<mcq-option>(B) \(3/7\)</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Geometry",
"Slope of a Linear Function"
]
}
</post_analysis>