what is the slope of a line that is parallel to the line (y = \frac{3}{4}x + 2)?

* (-\frac{4}{3})
* (-\frac{3}{4})
* (\frac{3}{4})
* (\frac{4}{3})

Question

what is the slope of a line that is parallel to the line (y = \frac{3}{4}x + 2)?

* (-\frac{4}{3})
* (-\frac{3}{4})
* (\frac{3}{4})
* (\frac{4}{3})

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Parallel Line Slopes", "Slope-Intercept Form" ], "current_concepts": [ "Parallel Line Slopes", "Slope-Intercept Form" ] } ## Identify the slope of the given line $$ \begin{aligned} &y = mx + b \ &y = \frac{3}{4}x + 2 \ &m = \frac{3}{4} \end{aligned} $$ ## Determine the slope of a parallel line $$ \begin{aligned} &m_{\text{parallel}} = m \ &m_{\text{parallel}} = \frac{3}{4} \end{aligned} $$

(A) $-\frac{4}{3}$

(B) $-\frac{3}{4}$

(C) $\frac{3}{4}$

(D) $\frac{4}{3}$

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

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Question

Explanation:

Identify the slope of the given line

Determine the slope of a parallel line

Answer: