drag the red and blue dots along the x-axis and y-axis to graph $-2x + y = 10$

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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", "Graphing Linear Equations" ], "new_concepts": [], "current_concepts": [ "x-intercept", "y-intercept", "Graphing Linear Equations" ] } ## Find the x-intercept $$ \begin{aligned} -2x + (0) &= 10 \ -2x &= 10 \ x &= -5 \end{aligned} $$ ## Find the y-intercept $$ \begin{aligned} -2(0) + y &= 10 \ y &= 10 \end{aligned} $$ ## Identify the coordinates for the dots $$ \begin{aligned} \text{Red dot (x-axis)}: & \ (-5, 0) \ \text{Blue dot (y-axis)}: & \ (0, 10) \end{aligned} $$ * **Red dot (on the x-axis):** Move to $(-5, 0)$ * **Blue dot (on the y-axis):** Move to $(0, 10)$ { "elements": [ { "type": "point", "params": [[-5, 0]], "properties": { "name": "Red Dot", "size": 4, "color": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[0, 10]], "properties": { "name": "Blue Dot", "size": 4, "color": "#5583F2", "withLabel": true } }, { "type": "line", "params": [[-5, 0], [0, 10]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2 } } ] } { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Graphing Linear Equations" ] }

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Explanation:

Find the x-intercept

Find the y-intercept

Identify the coordinates for the dots

Answer: