QUESTION IMAGE
Question
question 35 points 2
find the slope of the line joining two points (-4, -6) and (-5, -9).
-1/3
3
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<reasoning>
Identify the given points
\[
(x_1, y_1) = (-4, -6),\quad (x_2, y_2) = (-5, -9)
\]
Apply the slope formula
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-9 - (-6)}{-5 - (-4)}
\]
Simplify the expression
\[
m = \frac{-9 + 6}{-5 + 4} = \frac{-3}{-1} = 3
\]
</reasoning>
<answer>
<mcq-option>(A) \(-1/3\)</mcq-option>
<mcq-correct>(B) 3</mcq-correct>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Slope of a Linear Function"
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<pre_analysis>
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"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
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</pre_analysis>
<reasoning>
Identify the given points
\[
(x_1, y_1) = (-4, -6),\quad (x_2, y_2) = (-5, -9)
\]
Apply the slope formula
\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-9 - (-6)}{-5 - (-4)}
\]
Simplify the expression
\[
m = \frac{-9 + 6}{-5 + 4} = \frac{-3}{-1} = 3
\]
</reasoning>
<answer>
<mcq-option>(A) \(-1/3\)</mcq-option>
<mcq-correct>(B) 3</mcq-correct>
</answer>
<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Slope of a Linear Function"
]
}
</post_analysis>