question 5 (multiple choice worth 2 points)
(standard form of a linear function mc)

given the equation $-3x + 9y = -27$, determine the x-intercept.

-9
-3
3
9

Question

question 5 (multiple choice worth 2 points)
(standard form of a linear function mc)

given the equation $-3x + 9y = -27$, determine the x-intercept.

-9
-3
3
9

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Standard Form Equation" ], "new_concepts": [ "Finding Intercepts" ], "current_concepts": [ "Standard Form Equation", "Finding Intercepts" ] } ## Set y to zero $$ y = 0 $$ ## Substitute and solve for x $$ \begin{aligned} -3x + 9(0) &= -27 \ -3x &= -27 \ x &= 9 \end{aligned} $$

-9

-3

3

9

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

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QUESTION IMAGE

Question

Explanation:

Set y to zero

Substitute and solve for x

Answer: