find the intercepts of $-3x + 5y = -15$.

enter your answers as ordered pairs.
x-intercept =
y-intercept =

using the intercepts from above draw the graph of $-3x + 5y = -15$

Question

find the intercepts of $-3x + 5y = -15$.

enter your answers as ordered pairs.
x-intercept =
y-intercept =

using the intercepts from above draw the graph of $-3x + 5y = -15$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Line Intercepts" ], "new_concepts": [], "current_concepts": [ "Line Intercepts", "Graphing Linear Equations" ] } ## Find the x-intercept $$ \begin{aligned} -3x + 5(0) &= -15 \ -3x &= -15 \ x &= 5 \implies (5, 0) \end{aligned} $$ ## Find the y-intercept $$ \begin{aligned} -3(0) + 5y &= -15 \ 5y &= -15 \ y &= -3 \implies (0, -3) \end{aligned} $$ x-intercept = $(5, 0)$ y-intercept = $(0, -3)$ { "elements": [ { "type": "point", "params": [[5, 0]], "properties": { "name": "(5, 0)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "point", "params": [[0, -3]], "properties": { "name": "(0, -3)", "size": 4, "color": "#8C55F2", "withLabel": true } }, { "type": "line", "params": [[5, 0], [0, -3]], "properties": { "strokeColor": "#5583F2", "strokeWidth": 3 } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Line Intercepts" ] }

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Question

Explanation:

Find the x-intercept

Find the y-intercept

Answer: