find the x and y intercepts of this linear equation.

\6x + 2y = -24\

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

Question

find the x and y intercepts of this linear equation.

\6x + 2y = -24\

x-intercept $(?, \quad)$
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": [ "Intercepts of Linear Equations" ], "new_concepts": [], "current_concepts": [ "Intercepts of Linear Equations", "Linear Equations" ] } ## Find the x-intercept by setting y = 0 $$ \begin{aligned} 6x + 2(0) &= -24 \ 6x &= -24 \ x &= -4 \end{aligned} $$ ## Find the y-intercept by setting x = 0 $$ \begin{aligned} 6(0) + 2y &= -24 \ 2y &= -24 \ y &= -12 \end{aligned} $$ Find the x and y intercepts of this linear equation. $6x + 2y = -24$ x-intercept $(-4, 0)$ y-intercept $(0, -12)$ { "elements": [ { "type": "line", "params": [[-4, 0], [0, -12]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 3, "name": "6x + 2y = -24", "withLabel": true } }, { "type": "point", "params": [[-4, 0]], "properties": { "name": "(-4, 0)", "size": 4, "strokeColor": "#F2557F", "fillColor": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[0, -12]], "properties": { "name": "(0, -12)", "size": 4, "strokeColor": "#F2557F", "fillColor": "#F2557F", "withLabel": true } } ], "timestamps": [0.5, 1.0, 1.5] } { "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: