if $f(x) = 4x + 12$ is graphed on a coordinate plane, what is the $y$-intercept of the graph?

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Question

if $f(x) = 4x + 12$ is graphed on a coordinate plane, what is the $y$-intercept of the graph?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Functions", "Slope-Intercept Form", "Linear Function Intercepts" ], "new_concepts": [], "current_concepts": [ "Linear Functions", "Slope-Intercept Form", "Linear Function Intercepts" ] } ## Identify the linear function and its form $$ f(x) = 4x + 12 $$ $$ y = mx + b $$ ## Determine the y-intercept $$ \begin{aligned} &x = 0 \ &f(0) = 4(0) + 12 = 12 \end{aligned} $$

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

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QUESTION IMAGE

Question

Explanation:

Identify the linear function and its form

Determine the y-intercept

Answer: