question 13

which linear equation would produce a y-intercept of (0, -12) and a slope of -3?

- y = -3x + 12
- y = -3x - 12
- y = 12x - 3
- y = -12x - 3

Question

question 13

which linear equation would produce a y-intercept of (0, -12) and a slope of -3?

- y = -3x + 12
- y = -3x - 12
- y = 12x - 3
- y = -12x - 3

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": [ "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Slope-Intercept Form Conversion" ] } ## Identify the given parameters Using the *Linear Equations* knowledge point $$ \begin{aligned} &\text{Slope } (m) = -3\ &\text{y-intercept } (0, b) = (0, -12) \implies b = -12 \end{aligned} $$ ## Write the equation in slope-intercept form Using the *Linear Equations* knowledge point $$ \begin{aligned} &y = mx + b\ &y = -3x + (-12)\ &y = -3x - 12 \end{aligned} $$

(A) $y = -3x + 12$

(B) $y = -3x - 12$

(C) $y = 12x - 3$

(D) $y = -12x - 3$

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

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Question

Explanation:

Identify the given parameters

Write the equation in slope-intercept form

Answer: