{"id":"cb_question_bank:f7ceb6ea-2285-4b4c-9910-887e636eb69e","source_id":"cb_question_bank","source_item_id":"f7ceb6ea-2285-4b4c-9910-887e636eb69e","external_id":"62aec139-478e-41ed-ae31-7c2ce572a8ef","ibn":null,"question_id":"8b2a2a63","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":3,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The y -intercept of the graph of y equals minus 6 x minus 32 in the xy -plane is left parenthesis 0 comma y right parenthesis . What is the value of y ?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">The <em>y</em>-intercept of the graph of <math alttext=\"y equals minus 6 x minus 32\"><mrow>\n\t<mi>y</mi>\n\t<mo>=</mo>\n\t<mrow>\n\t\t<mrow>\n\t\t\t<mo>-</mo>\n\t\t\t<mn>6</mn>\n\t\t\t<mi>x</mi>\n\t\t</mrow>\n\t\t<mo>-</mo>\n\t\t<mn>32</mn>\n\t</mrow>\n</mrow>\n</math> in the <em>xy</em>-plane is <math alttext=\"left parenthesis 0 comma y right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mi>y</mi></mrow></mfenced></math>. What is the value of <math alttext=\"y\"><mi>y</mi>\n</math>?</p>","rationale_html":"<p>The correct answer is <math alttext=\"negative 32\"><mo>-</mo><mn>32</mn></math>. It’s given that the <em>y</em>-intercept of the graph of&nbsp;<math alttext=\"y equals minus 6 x minus 32\"><mi>y</mi><mo>=</mo><mo>-</mo><mn>6</mn><mi>x</mi><mo>-</mo><mn>32</mn></math>&nbsp;is <math alttext=\"left parenthesis 0 comma y right parenthesis\"><mfenced><mrow><mn>0</mn><mo>,</mo><mi>y</mi></mrow></mfenced></math>. Substituting <math alttext=\"0\"><mn>0</mn>\n</math> for <math alttext=\"x\"><mi>x</mi>\n</math> in this equation yields <math alttext=\"y equals minus 6 left parenthesis 0 right parenthesis minus 32\"><mi>y</mi><mo>=</mo><mo>-</mo><mn>6</mn><mfenced><mn>0</mn></mfenced><mo>-</mo><mn>32</mn></math>, or&nbsp;<math alttext=\"y equals negative 32\"><mi>y</mi><mo>=</mo><mo>-</mo><mn>32</mn></math>. Therefore, the value of <math alttext=\"y\"><mi>y</mi>\n</math> that corresponds to the <em>y</em>-intercept of the graph of <math alttext=\"y equals minus 6 x minus 32\"><mi>y</mi><mo>=</mo><mo>-</mo><mn>6</mn><mi>x</mi><mo>-</mo><mn>32</mn></math> in the <em>xy</em>-plane is <math alttext=\"negative 32\"><mo>-</mo><mn>32</mn></math>.</p>","correct_answer":["-32"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.814000+00:00","source_updated_at":"2023-08-02T20:25:59.814000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}