{"id":"cb_question_bank:a4f8b2b1-8f3d-4a4f-85a8-d2d139ae74c9","source_id":"cb_question_bank","source_item_id":"a4f8b2b1-8f3d-4a4f-85a8-d2d139ae74c9","external_id":"d85fc288-4098-4fba-a899-571c900d8231","ibn":null,"question_id":"265f2a53","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"M","score_band":5,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"When line n is graphed in the xy -plane, it has an x -intercept of left parenthesis negative 4 comma 0 right parenthesis and a y -intercept of left parenthesis 0 comma StartFraction 86 Over 3 EndFraction right parenthesis . What is the slope of line n ?","stimulus":"","stimulus_html":null,"stem_html":"

When line n\n is graphed in the xy-plane, it has an x-intercept of -4,0 and a y-intercept of 0,863. What is the slope of line n\n?

","rationale_html":"

Choice C is correct. It's given that when line n\n is graphed in the xy-plane, it has an x-intercept of -4,0 and a y-intercept of 0,863. The slope, m\n, of a line can be found using any two points on the line, x1,y1 and x2,y2, and the slope formula m=y2-y1x2-x1. Substituting the points -4,0 and 0,863 for x1,y1 and x2,y2, respectively, in the slope formula yields m=863-00--4, or m=436. Therefore, the slope of line n\n is 436.

\n

Choice A is incorrect and may result from conceptual or calculation errors.

\n

Choice B is incorrect. This is the slope of a line that has an x-intercept of 863,0 and a y-intercept of 0,-4.

\n

Choice D is incorrect and may result from conceptual or calculation errors.

","correct_answer":["C"],"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":[{"label":"A","content_html":"

\n\t3\n\t344\n\n

","ord":0},{"label":"B","content_html":"

\n\t6\n\t43\n\n

","ord":1},{"label":"C","content_html":"

\n\t43\n\t6\n\n

","ord":2},{"label":"D","content_html":"

\n\t344\n\t3\n\n

","ord":3}],"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}}