the graph represents a direct variation:

true
false

Question

the graph represents a direct variation:

true
false

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Direct Variation", "Linear Graphs" ], "new_concepts": [], "current_concepts": [ "Direct Variation", "Linear Graphs" ] } ## Identify the definition of direct variation Using the *Direct Variation* knowledge point $$ y = kx $$ ## Check the y-intercept of the graph Using the *Linear Graphs* knowledge point $$ \begin{aligned} &\text{The line passes through } (0, 1).\ &\text{Since } y\text{-intercept } b = 1 e 0\text{, the line does not pass through the origin } (0,0). \end{aligned} $$ ## Determine the truth value Using the *Direct Variation* and *Linear Graphs* knowledge points $$ \begin{aligned} &\text{A direct variation graph must pass through } (0,0).\ &\text{Therefore, the statement is False.} \end{aligned} $$

True

False

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Direct Variation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the definition of direct variation

Check the y-intercept of the graph

Determine the truth value

Answer: