find the $y$-intercept of the function $4x + 2y = 8$.

$(0, -4)$
$(0, 4)$

Question

find the $y$-intercept of the function $4x + 2y = 8$.

$(0, -4)$
$(0, 4)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "y-intercept of a graph", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "y-intercept of a graph", "Linear Equations" ] } ## Set x to zero $$ x = 0 $$ ## Substitute and solve for y $$ \begin{aligned} 4(0) + 2y &= 8 \ 2y &= 8 \ y &= 4 \end{aligned} $$ ## Write as coordinate pair $$ (0, 4) $$

(A) $(0, -4)$

(B) $(0, 4)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "y-intercept of a graph" ] }

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QUESTION IMAGE

Question

Explanation:

Set x to zero

Substitute and solve for y

Write as coordinate pair

Answer: