{"id":"cb_practice_pdf:t8-math-m1-q10","source_id":"cb_practice_pdf","source_item_id":"t8-math-m1-q10","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-8","module_number":1,"position":10,"stem":"What is the equation of the line that passes through (0,5) the point and is parallel to the graph of y = 7x+4 in the xy-plane? y = 5x","stimulus":"","stimulus_html":null,"stem_html":"<p>What is the equation of the line that passes through (0,5) the point and is parallel to the graph of y = 7x+4 in the xy-plane? y = 5x</p>","rationale_html":"<p>Choice B is correct. The equation of a line in the xy-plane can be written in = + 0, slope-intercept form y mx b, where m is the slope of the line and ^ bh is its 0,5 = y-intercept. It’s given that the line passes through the point ^ h. Therefore, b 5. =7 +4 It’s also given that the line is parallel to the graph of y x , which means the =7 +4 line has the same slope as the graph of y x . The slope of the graph of =7 +4 = y x is 7. Therefore, m 7. Substituting 7 for m and 5 for b in the equation = + =7 +5 y mx b yields y x . 0,0 Choice A is incorrect. The graph of this equation passes through the point ^ h, 0,5 not ^ h, and has a slope of 5, not 7. Choice C is incorrect. The graph of this 0,0 0,5 equation passes through the point ^ h, not ^ h. Choice D is incorrect. The 0,7 0,5 graph of this equation passes through the point ^ h, not ^ h, and has a slope of 5, not 7.</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>y = 7x+5</p>","ord":0},{"label":"B","content_html":"<p>y = 7x</p>","ord":1},{"label":"C","content_html":"","ord":2},{"label":"D","content_html":"<p>y = 5x+7</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}}