{"id":"cb_practice_pdf:t4-math-m1-q12","source_id":"cb_practice_pdf","source_item_id":"t4-math-m1-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":null,"form_id":"cb_practice_pdf:test-4","module_number":1,"position":12,"stem":"y 16 14 12 1 8 6 4 2 \" X f-^~2-4_6_8_10 -1 0-=8~ -<:..4--=2_ 14 \"\"'-..I / I~,v \" L I..........._ ·12 \" ·14 I\"\"'-.. ·16 ' What is an equation of the graph shown?","stimulus":"","stimulus_html":null,"stem_html":"<p>y 16 14 12 1 8 6 4 2 &quot; X f-^~2-4_6_8_10 -1 0-=8~ -&lt;:..4--=2_ 14 &quot;&quot;&#x27;-..I / I~,v &quot; L I..........._ ·12 &quot; ·14 I&quot;&quot;&#x27;-.. ·16 &#x27; What is an equation of the graph shown?</p>","rationale_html":"<p>= + Choice C is correct. An equation of a line can be written in the form y mx b, ( ) where m is the slope of the line and 0, b is the y-intercept of the line. The line ( - ) =- shown passes through the point 0, 8 , so b 8. The line shown also passes (- ) through the point 8, 0 . The slope, m, of a line passing through two points ( 1 x, 1 y ) ( and - ( ) 2 x, 2 y ) ( c - an be ) calculated us = ing (- t 8 h )- e 0 equatio = n - m =y x 2 2 - - y x1 1. For th - e points 0, 8 and 8, 0 , this gives m -(- ), or m 1. Substituting 8 for 0 8 - = + = - (+ -) ( ) =- - b and 1 for m in y mx b yields y 1 x 8 , or y 8x. Therefore, =- - an equation of the graph shown is y 8x. - - Choice A is incorrect. This is an equation of a line with a slope of 2, not 1. - Choice B is incorrect. This is an equation of a line with a slope of 1, not 1. - Choice D is incorrect. This is an equation of a line with a slope of 2, not 1.</p>","correct_answer":["C"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>y = −2x−8</p>","ord":0},{"label":"B","content_html":"<p>y = x−8</p>","ord":1},{"label":"C","content_html":"<p>y = −x−8</p>","ord":2},{"label":"D","content_html":"<p>y = 2x−8</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}}