question 7 of 10

the lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?

a. 2
b. -2
c. -1
d. 1

Question

question 7 of 10

the lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?

a. 2
b. -2
c. -1
d. 1

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Parallel Line Slopes" ], "new_concepts": [], "current_concepts": [ "Parallel Line Slopes", "Slope Interpretation" ] } ## Identify the relationship between the lines $$ \text{Line}_1 \parallel \text{Line}_2 $$ ## Apply the parallel lines slope theorem $$ m_{\text{red}} = m_{\text{green}} $$ ## Determine the slope of the red line $$ \begin{aligned} &m_{\text{green}} = -1 \ &m_{\text{red}} = -1 \end{aligned} $$

A. 2

B. -2

C. -1

D. 1

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Parallel Line Slopes" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the relationship between the lines

Apply the parallel lines slope theorem

Determine the slope of the red line

Answer: