find the $x$ and $y$ intercepts of the linear function $4x - 3y = -12$.

$(-3, 0)$ and $(0, 4)$
$(3, 0)$ and $(0, 4)$

Question

find the $x$ and $y$ intercepts of the linear function $4x - 3y = -12$.

$(-3, 0)$ and $(0, 4)$
$(3, 0)$ and $(0, 4)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "x-intercept", "y-intercept of a graph", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "x-intercept", "y-intercept of a graph", "Linear Equations" ] } ## Find the x-intercept $$ \begin{aligned} &y = 0 \ &4x - 3(0) = -12 \ &4x = -12 \ &x = -3 \ &\text{Intercept: } (-3, 0) \end{aligned} $$ ## Find the y-intercept $$ \begin{aligned} &x = 0 \ &4(0) - 3y = -12 \ &-3y = -12 \ &y = 4 \ &\text{Intercept: } (0, 4) \end{aligned} $$

(A) $(-3, 0)$ and $(0, 4)$

(B) $(3, 0)$ and $(0, 4)$

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

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Find the x-intercept

Find the y-intercept

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