find the x- and y-intercepts of the graph of (3x - 7y = 15). state each answer as an integer or an improper fraction in simplest form.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "x-intercept", "y-intercept", "Linear Equations" ], "current_concepts": [ "x-intercept", "y-intercept", "Linear Equations" ] } ## Find the x-intercept To find the x-intercept, set $y = 0$ in the equation and solve for $x$. $$ \begin{aligned} 3x - 7(0) &= 15 \ 3x &= 15 \ x &= 5 \end{aligned} $$ ## Find the y-intercept To find the y-intercept, set $x = 0$ in the equation and solve for $y$. $$ \begin{aligned} 3(0) - 7y &= 15 \ -7y &= 15 \ y &= -\frac{15}{7} \end{aligned} $$ Find the x- and y-intercepts of the graph of $3x - 7y = 15$. State each answer as an integer or an improper fraction in simplest form. x-intercept: 5 y-intercept: $-\frac{15}{7}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Find the x-intercept

Find the y-intercept

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