{"id":"cb_question_bank:40a84a37-eea4-4d7a-869c-e94e3a402205","source_id":"cb_question_bank","source_item_id":"40a84a37-eea4-4d7a-869c-e94e3a402205","external_id":null,"ibn":"016625-DC","question_id":"b2845d88","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":"Which of the following is an equation of the graph shown in the xy -plane above?","stimulus":"The figure presents the graph of a line in the x y plane. The number 1 is indicated on both axes. The line passes through the point with coordinates negative 4 comma 0, and the point with coordinates 0 comma negative 1.","stimulus_html":"<div class=\"stimulus_reference \">\n        <div class=\"passage \">\n          <div class=\"prose style:1 \">\n            <div class=\"standalone_image \">\n              <img src=\"/api/assets/b20a7ab305e1a8b044d11c290ffe1066ffbde5acc8086ccc7efee88a246bdc67\" alt=\"The figure presents the graph of a line in the x y plane. The number 1 is indicated on both axes. The line passes through the point with coordinates negative 4 comma 0, and the point with coordinates 0 comma negative 1.\" width=\"156\" height=\"96\"></div>\n          </div>\n        </div>\n      </div>\n","stem_html":"<p class=\"stem_paragraph \">Which of the following is an equation of the graph shown in the <span class=\"italic\"><span class=\"italic\">xy</span></span>-plane above?</p>\n","rationale_html":"<p>Choice A is correct. The slope of the line can be found by choosing any two points on the line, such as (4, –2) and (0, –1). Subtracting the <span class=\"italic\">y</span>-values results in –2 – (–1) = –1, the change in <span class=\"italic\">y</span>. Subtracting the <span class=\"italic\">x</span>-values results in 4 – 0 = 4, the change in <i>x</i>. Dividing the change in <span class=\"italic\">y</span> by the change in <i>x</i> yields <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/04ed0ea2e8125cf9519d93e5d352166eeb6acbc472eeeff8688fc3ac69c78e24\" alt=\"negative 1, divided by 4, equals negative one fourth\"></span>, the slope. The line intersects the <span class=\"italic\">y</span>-axis at (0, –1), so –1 is the <span class=\"italic\">y</span>-coordinate of the <span class=\"italic\">y</span>-intercept. This information can be expressed in slope-intercept form as the equation <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5c61b5619ee9fdb0bb0c5ae913b932db90759b3effd21f9ef2085e54f18c62c7\" alt=\"y equals, negative one fourth, x, minus 1\"></span>.</p><p>Choice B is incorrect and may result from incorrectly calculating the slope and then misidentifying the slope as the <span class=\"italic\">y</span>-intercept. Choice C is incorrect and may result from misidentifying the slope as the <span class=\"italic\">y</span>-intercept. Choice D is incorrect and may result from incorrectly calculating the slope.</p><p></p>\n","correct_answer":["A"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.615000+00:00","source_updated_at":"2023-08-02T20:25:59.615000+00:00","options":[{"label":"A","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/5c61b5619ee9fdb0bb0c5ae913b932db90759b3effd21f9ef2085e54f18c62c7\" alt=\" y equals, negative one fourth x, minus 1\"></span></span>\n          </p>\n","ord":0},{"label":"B","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/4bff7884c9e98b856d755dbc0a38d31d817f094bdc73db0a64df3425ef48b4a0\" alt=\"y equals, negative x, minus 4\"></span></span>\n          </p>\n","ord":1},{"label":"C","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/a9f616b7434740842b5d8b8731e76f00c58d345db2a0ef2af637349035a85071\" alt=\"y equals, negative x, minus one fourth\"></span></span>\n          </p>\n","ord":2},{"label":"D","content_html":"<p class=\"choice_paragraph \">\n            <span class=\"math_expression \">\n              <span class=\"math-container\"><img align=\"middle\" role=\"math\" class=\"math-img\" src=\"/api/assets/538bb2e1728408a2a0f8e429a8fd8d6170b8224c606416cbc6b9e3cf58adbb74\" alt=\"y equals, negative 4 x, minus 1\"></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}}