find the x and y intercepts of this linear equation.

\4x + 10y = 20\

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

Question

find the x and y intercepts of this linear equation.

\4x + 10y = 20\

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 Functions" ] } ## Find the x-intercept by setting y = 0 $$ \begin{aligned} 4x + 10(0) &= 20 \ 4x &= 20 \ x &= 5 \end{aligned} $$ ## Find the y-intercept by setting x = 0 $$ \begin{aligned} 4(0) + 10y &= 20 \ 10y &= 20 \ y &= 2 \end{aligned} $$ Find the x and y intercepts of this linear equation. $4x + 10y = 20$ x-intercept $(5, 0)$ y-intercept $(0, 2)$ { "elements": [ { "type": "line", "params": [[5, 0], [0, 2]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 3, "name": "4x + 10y = 20", "withLabel": true } }, { "type": "point", "params": [[5, 0]], "properties": { "name": "(5, 0)", "size": 4, "strokeColor": "#F2557F", "fillColor": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[0, 2]], "properties": { "name": "(0, 2)", "size": 4, "strokeColor": "#F2557F", "fillColor": "#F2557F", "withLabel": true } } ], "timestamps": [0.5, 1.0] } { "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: