x/y-intercept (ax + by = c)

find the x- and y-intercepts of the graph of $-7x + 2y = 14$. state each answer as an integer or an improper fraction in simplest form.

Question

x/y-intercept (ax + by = c)

find the x- and y-intercepts of the graph of $-7x + 2y = 14$. state each answer as an integer or an improper fraction in simplest form.

Accepted Answer

{ "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 $$ \begin{aligned} -7x + 2(0) &= 14 \ -7x &= 14 \ x &= -2 \end{aligned} $$ ## Find the y-intercept $$ \begin{aligned} -7(0) + 2y &= 14 \ 2y &= 14 \ y &= 7 \end{aligned} $$ Find the x- and y-intercepts of the graph of $-7x + 2y = 14$. State each answer as an integer or an improper fraction in simplest form. x-intercept: -2 y-intercept: 7 { "elements": [ { "type": "line", "params": [[-2, 0], [0, 7]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 3, "name": "-7x + 2y = 14", "withLabel": true, "labelPosition": [1, 5] } }, { "type": "point", "params": [[-2, 0]], "properties": { "name": "(-2, 0)", "size": 4, "strokeColor": "#F2557F", "fillColor": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[0, 7]], "properties": { "name": "(0, 7)", "size": 4, "strokeColor": "#F2557F", "fillColor": "#F2557F", "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Find the x-intercept

Find the y-intercept

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