find the $y$-intercept and $x$-intercept of the line.

\7x - 3y = 21\

$y$-intercept:
$x$-intercept:

Question

find the $y$-intercept and $x$-intercept of the line.

\7x - 3y = 21\

$y$-intercept:
$x$-intercept:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [], "new_concepts": [ "x-intercept", "y-intercept", "Linear Intercepts" ], "current_concepts": [ "x-intercept", "y-intercept", "Linear Intercepts" ] } ## Find the y-intercept by setting x = 0 $$ \begin{aligned} 7(0) - 3y &= 21 \ -3y &= 21 \ y &= -7 \end{aligned} $$ ## Find the x-intercept by setting y = 0 $$ \begin{aligned} 7x - 3(0) &= 21 \ 7x &= 21 \ x &= 3 \end{aligned} $$ $y$-intercept: $-7$ $x$-intercept: $3$ { "elements": [ { "type": "line", "params": [[3, 0], [0, -7]], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2, "name": "7x - 3y = 21", "withLabel": true } }, { "type": "point", "params": [[0, -7]], "properties": { "name": "y-intercept (0, -7)", "size": 4, "color": "#F2557F", "withLabel": true } }, { "type": "point", "params": [[3, 0]], "properties": { "name": "x-intercept (3, 0)", "size": 4, "color": "#F2557F", "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Intercepts" ] }

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Question

Explanation:

Find the y-intercept by setting x = 0

Find the x-intercept by setting y = 0

Answer: