{"id":"cb_practice_pdf:t9-math-m2-q5","source_id":"cb_practice_pdf","source_item_id":"t9-math-m2-q5","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-9","module_number":2,"position":5,"stem":"A line in the xy-plane has a slope of 1/9 and passes (0,14) through the point. Which equation represents this line? y = − x−14","stimulus":"","stimulus_html":null,"stem_html":"<p>A line in the xy-plane has a slope of 1/9 and passes (0,14) through the point. Which equation represents this line? y = − x−14</p>","rationale_html":"<p>Choice D is correct. The equation of a line in the xy-plane can be written as = + 0, y mx b, where m represents the slope of the line and ^1 bh represents the 1 = y-intercept of the line. It’s given that the slope of the line is 9. It follows that m 9. 0,14 =14 It’s also given that the line passes through the point ^ h. It follows that b . 1 14 = + = 1 +14 Substituting 9 for m and for b in y mx b yields y 9x . Thus, the = 1 +14 equation y 9x represents this line. 1 - Choice A is incorrect. This equation represents a line with a slope of 9 and a 0,-14 y-intercept of ^ h. Choice B is incorrect. This equation represents a line with - 1 0,14 a slope of 9 and a y-intercept of ^ h. Choice C is incorrect. This equation 1 0,-14 represents a line with a slope of 9 and a y-intercept of ^ h.</p>","correct_answer":["D"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>1/9 y = − x+14</p>","ord":0},{"label":"B","content_html":"<p>1/9 y = x−14</p>","ord":1},{"label":"C","content_html":"<p>1/9 y = x+14</p>","ord":2},{"label":"D","content_html":"<p>1/9</p>","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}