find the x- and y-intercepts of the graph of $9x + 3y = 18$. state each answer as an integer or an improper fraction in simplest form.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "x-intercept", "y-intercept", "Linear Equations" ], "new_concepts": [], "current_concepts": [ "x-intercept", "y-intercept", "Linear Equations" ] } ## Find the x-intercept $$ \begin{aligned} &3y = 18 - 9x \ &y = 0 \implies 9x + 3(0) = 18 \ &9x = 18 \ &x = 2 \end{aligned} $$ ## Find the y-intercept $$ \begin{aligned} &x = 0 \implies 9(0) + 3y = 18 \ &3y = 18 \ &y = 6 \end{aligned} $$ Find the x- and y-intercepts of the graph of $9x + 3y = 18$. State each answer as an integer or an improper fraction in simplest form. x-intercept: 2 y-intercept: 6 { "elements": [ { "type": "line", "params": [[2, 0], [0, 6]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 3, "name": "9x + 3y = 18", "withLabel": true } }, { "type": "point", "params": [[2, 0]], "properties": { "name": "(2, 0)", "color": "#F2557F", "size": 4, "withLabel": true } }, { "type": "point", "params": [[0, 6]], "properties": { "name": "(0, 6)", "color": "#F2557F", "size": 4, "withLabel": true } } ], "timestamps": [0.5, 1.0] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "x-intercept and y-intercept" ] }

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Find the x-intercept

Find the y-intercept

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