find the x and y intercepts of this linear equation.

\x + 4y = -56\

x-intercept $(\quad, \quad)$
y-intercept $(\quad, \quad)$

Question

find the x and y intercepts of this linear equation.

\x + 4y = -56\

x-intercept $(\quad, \quad)$
y-intercept $(\quad, \quad)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Linear Functions" ], "new_concepts": [ "Intercepts of Linear Equations" ], "current_concepts": [ "Linear Functions", "Intercepts of Linear Equations" ] } ## Find the x-intercept by setting y = 0 $$ \begin{aligned} x + 4(0) &= -56 \ x &= -56 \end{aligned} $$ ## Find the y-intercept by setting x = 0 $$ \begin{aligned} 0 + 4y &= -56 \ y &= -14 \end{aligned} $$ Find the x and y intercepts of this linear equation. $x + 4y = -56$ x-intercept (-56, 0) y-intercept (0, -14) { "elements": [ { "type": "line", "params": [[-56, 0], [0, -14]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2, "name": "x + 4y = -56", "withLabel": true } }, { "type": "point", "params": [[-56, 0]], "properties": { "name": "(-56, 0)", "color": "#F2557F", "size": 4, "withLabel": true } }, { "type": "point", "params": [[0, -14]], "properties": { "name": "(0, -14)", "color": "#F2557F", "size": 4, "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Intercepts of Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Find the x-intercept by setting y = 0

Find the y-intercept by setting x = 0

Answer: