{"id":"cb_practice_pdf:t11-math-m2-q12","source_id":"cb_practice_pdf","source_item_id":"t11-math-m2-q12","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-11","module_number":2,"position":12,"stem":"12 = + Line k is defined by y 6x 4. Line j is parallel to line k in the xy-plane and passes through the point 0,5. Which equation defines line j? ^ h","stimulus":"","stimulus_html":null,"stem_html":"<p>12 = + Line k is defined by y 6x 4. Line j is parallel to line k in the xy-plane and passes through the point 0,5. Which equation defines line j? ^ h</p>","rationale_html":"<p>Choice A is correct. An equation that defines a line in the xy-plane can be written = + 0, as y mx b, where m is the slope of the line and ^ bh is its y-intercept. It’s =6 +4 given that line k is defined by the equation y x ; therefore, the slope of line k is 6. Since line j is parallel to line k in the xy-plane and parallel lines have equal slopes, it follows that the slope of line j is 6. It’s also given that line j 0,5 passes through the point ^ h, which is its y-intercept. Substituting 6 for m and = + =6 +5 5 for b in the equation y mx b yields y x . Therefore, the equation =6 +5 y x defines line j. - Choice B is incorrect. This equation defines a line that has a slope of 5, not 6. - Choice C is incorrect. This equation defines a line that has a slope of 6, not 6. Choice D is incorrect. This equation defines a line that has a slope of 5, not 6.</p>","correct_answer":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>y = 6x + 5</p>","ord":0},{"label":"B","content_html":"<p>y = -5x + 5 = -6x +</p>","ord":1},{"label":"C","content_html":"<p>y 5 = +</p>","ord":2},{"label":"D","content_html":"<p>y 5x 5</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}}