{"id":"cb_question_bank:85cbc38c-dda9-4c1c-83a6-54926e7ff224","source_id":"cb_question_bank","source_item_id":"85cbc38c-dda9-4c1c-83a6-54926e7ff224","external_id":null,"ibn":"025936-DC","question_id":"2554b413","program":"SAT","module":"math","domain_code":"H","domain":"Algebra","skill_code":"H.C.","skill":"Linear equations in two variables","difficulty":"E","score_band":2,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"In the xy -plane, a line has a slope of 6 and passes through the point with coordinates zero comma 8 . Which of the following is an equation of this line?","stimulus":"","stimulus_html":null,"stem_html":"<p class=\"stem_paragraph \">In the <span class=\"italic \">xy</span>-plane, a line has a slope of 6 and passes through the point <span class=\"math_expression \"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/09f54ca4e68d18d2b67ddab44a971e8b5cf4f713c4dd3414ab71f5329d1d28fb\" alt=\"with coordinates zero comma 8\"></span></span>. Which of the following is an equation of this line?</p>\n","rationale_html":"<p>Choice A is correct. The slope-intercept form of an equation for a line is <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/39dda01984e771026b6a8a741d3ebb66f1a29f1e81583b67f8d50f6e2dbb783e\" alt=\"y equals, m x plus b\"></span>, where <span class=\"italic\">m</span> is the slope of the line and <span class=\"italic\">b</span> is the <span class=\"italic\">y</span>-coordinate of the <span class=\"italic\">y</span>-intercept of the line. It’s given that the slope is 6, so <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/598cb1a6c148b1e04ead60d0e178dfb2154443fae4f429777d75ecc972b58c1d\" alt=\"m equals 6\"></span>. It’s also given that the line passes through the point <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/09f54ca4e68d18d2b67ddab44a971e8b5cf4f713c4dd3414ab71f5329d1d28fb\" alt=\"with coordinates 0 comma 8 \"></span> on the <span class=\"italic\">y</span>-axis, so <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e8f75fe81e77755d032b007d4747840cfb2bd22bac91e1c1769cc4aaf1e9d38a\" alt=\"b equals 8 \"></span>. Substituting <span class=\"italic\"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/598cb1a6c148b1e04ead60d0e178dfb2154443fae4f429777d75ecc972b58c1d\" alt=\"m equals 6 \"></span></span> and <span class=\"italic\"><span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/e8f75fe81e77755d032b007d4747840cfb2bd22bac91e1c1769cc4aaf1e9d38a\" alt=\"b equals 8 \"></span></span> into the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/39dda01984e771026b6a8a741d3ebb66f1a29f1e81583b67f8d50f6e2dbb783e\" alt=\"y equals, m x plus b\"></span> gives <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/32e4b78fe6fd4fcf8782d6e979c9ce2fb4e09f1b2351bcf64ee3628bbd248458\" alt=\"y equals, 6 x plus 8\"></span>.</p><p>Choices B, C, and D are incorrect and may result from misinterpreting the slope-intercept form of an equation of a line.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.620000+00:00","source_updated_at":"2023-08-02T20:25:59.620000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph block_choice\">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/32e4b78fe6fd4fcf8782d6e979c9ce2fb4e09f1b2351bcf64ee3628bbd248458\" alt=\"y equals, 6 x plus 8\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph block_choice\">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/6af8548a4fbd54618a5f563f77e0f40f1b48e5b7f78e0dffccadb8b384840f26\" alt=\"y equals, 6 x plus 48\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph block_choice\">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/ce4e67b57d7752702b47f9d1df7ce68f1a62dc637818868de20b11d4f7cb4f74\" alt=\"y equals, 8 x plus 6\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph block_choice\">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/831dffb47ad38b484d219df10f45da0c125c1971143e149385c0d26d99dd25ed\" alt=\"y equals, 8 x plus 48\"></span></span>\n          </p>\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}}