Question was provided via image upload.

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Modeling", "Slope-Intercept Form" ], "new_concepts": [], "current_concepts": [ "Linear Modeling", "Slope-Intercept Form" ] } ## Calculate and compare the slopes $$ \begin{aligned} m_{\text{Mark}} &= \frac{q - p}{2011 - 2002} = \frac{q - p}{9} \ m_{\text{Jessica}} &= \frac{q - p}{11 - 2} = \frac{q - p}{9} \ m_{\text{Mark}} &= m_{\text{Jessica}} \end{aligned} $$ ## Compare the y-intercepts $$ \begin{aligned} b_{\text{Mark}} &= p - m(2002) \ b_{\text{Jessica}} &= p - m(2) \ b_{\text{Mark}} & eq b_{\text{Jessica}} \quad (\text{since } 2002 eq 2 \text{ and } m eq 0) \end{aligned} $$

Their equations have the same slopes and y-intercepts.

Their equations have different slopes and y-intercepts.

Their equations have different y-intercepts but the same slopes.

Their equations have the same y-intercepts but different slopes.

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Modeling" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Calculate and compare the slopes

Compare the y-intercepts

Answer: