{"id":"cb_practice_pdf:t10-math-m2-q21","source_id":"cb_practice_pdf","source_item_id":"t10-math-m2-q21","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":"spr","answer_source":"rationale","layout_warning":null,"form_id":"cb_practice_pdf:test-10","module_number":2,"position":21,"stem":"- - - -_3y_+12x_=_5_. - -_Line_n -_is ~ ℓ Line is defined by ℓ perpendicular to line in the xy-plane. What is the slope of line n?","stimulus":"","stimulus_html":null,"stem_html":"<p>- - - -_3y_+12x_=_5_. - -_Line_n -_is ~ ℓ Line is defined by ℓ perpendicular to line in the xy-plane. What is the slope of line n?</p>","rationale_html":"<p>1 = + The correct answer is 4. For an equation in slope-intercept form y mx b, m represents the slope of the line in the xy-plane defined by this equation. It’s given , 3 +12 =5 12 that line is defined by y x . Subtracting x from both sides of this 3 =-12 +5 equation yields y x . Dividing both sides of this equation by 3 yields =- 12 + 5 =-4 + 5 , - y 3x 3, or y x 3. Thus, the slope of line in the xy-plane is 4. , Since line n is perpendicular to line in the xy-plane, the slope of line n is the , - negative reciprocal of the slope of line . The negative reciprocal of 4 is 1 1 - = -4 4. Note that 1/4 and .25 are examples of ways to enter a correct answer. ^ h</p>","correct_answer":["4"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[],"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}}