9. challenge: the $y$-intercept of the line $y = mx + b$ is $b$. what is the $x$-intercept of the line $y = mx + b$?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "x-intercept", "Literal Equations", "Formula Rearrangement" ], "new_concepts": [], "current_concepts": [ "x-intercept", "y-intercept", "Slope-Intercept Form", "Literal Equations", "Formula Rearrangement" ] } ## Set y equal to zero to find the x-intercept $$ 0 = mx + b $$ ## Solve the equation for x $$ \begin{aligned} mx &= -b \ x &= -\frac{b}{m} \quad (m eq 0) \end{aligned} $$ $-\frac{b}{m}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "x-intercept" ] }

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Question

Explanation:

Set y equal to zero to find the x-intercept

Solve the equation for x

Answer: