a graph of a linear relationship is shown.

write an equation in standard form that models the relationship shown.

$6x - y = 12$

$-6x - y = -12$

$x - 6y = 12$

$-x - 6y = -12$

Question

a graph of a linear relationship is shown.

write an equation in standard form that models the relationship shown.

$6x - y = 12$

$-6x - y = -12$

$x - 6y = 12$

$-x - 6y = -12$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Rate of Change", "Linear Functions", "Standard Form Equation", "Finding Intercepts" ], "new_concepts": [], "current_concepts": [ "Rate of Change", "Linear Functions", "Standard Form Equation", "Finding Intercepts" ] } ## Identify intercepts from the graph $$ \begin{aligned} &\text{y-intercept: } (0, -12) \ &\text{x-intercept: } (2, 0) \end{aligned} $$ ## Determine the slope of the line $$ \begin{aligned} &m = \frac{0 - (-12)}{2 - 0} = \frac{12}{2} = 6 \end{aligned} $$ ## Write the equation in standard form $$ \begin{aligned} &y = 6x - 12 \ &6x - y = 12 \end{aligned} $$

(A) $6x - y = 12$

(B) $-6x - y = -12$

(C) $x - 6y = 12$

(D) $-x - 6y = -12$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Standard Form Equation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify intercepts from the graph

Determine the slope of the line

Write the equation in standard form

Answer: