5. use the intercepts to graph the equation $y = -3x + 6$. name the points where the line crosses the axes.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "x-intercept", "y-intercept" ], "new_concepts": [], "current_concepts": [ "x-intercept", "y-intercept", "Graphing Linear Equations" ] } ## Find the y-intercept $$ \begin{aligned} &x = 0 \ &y = -3(0) + 6 = 6 \ &\text{y-intercept: } (0, 6) \end{aligned} $$ ## Find the x-intercept $$ \begin{aligned} &y = 0 \ &0 = -3x + 6 \ &3x = 6 \ &x = 2 \ &\text{x-intercept: } (2, 0) \end{aligned} $$ The points where the line crosses the axes are: - x-intercept: $(2, 0)$ - y-intercept: $(0, 6)$ { "elements": [ { "type": "point", "params": [[2, 0]], "properties": { "name": "x-intercept (2, 0)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[0, 6]], "properties": { "name": "y-intercept (0, 6)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[2, 0], [0, 6]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 2 } } ] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Graphing Linear Equations" ] }

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Find the y-intercept

Find the x-intercept

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