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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Is the x-intercept of the non-horizontal line L negative? tagged by: fskilnik@GMATH ##### This topic has 1 expert reply and 1 member reply ### GMAT/MBA Expert ## Is the x-intercept of the non-horizontal line L negative? ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult GMATH practice exercise (Quant Class 20) Is the x-intercept of the non-horizontal line L negative? (1) The slope of line L is equal to the y-intercept of line L. (2) The slope of line L is positive. Answer: ____(A)__ _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br Legendary Member Joined 10 May 2014 Posted: 1079 messages Followed by: 24 members Upvotes: 205 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 20) Is the x-intercept of the non-horizontal line L negative? (1) The slope of line L is equal to the y-intercept of line L. (2) The slope of line L is positive. Answer: ____(A)__ Question : Is the x-intercept of the non-horizontal line L negative? CONCEPT: A line with negative slope is bound to pass through II and IV quadrants CONCEPT: A line with negative slope has both intercepts (x and y intercepts) +ve and both intercepts -ve Statement 1: The slope of line L is equal to the y-intercept of line L. Since the line may have both slope and Y intercepts +ve as well as -ve but in each of these cases x-intercept will be -ve hence SUFFICIENT Statement 2: The slope of line L is positive. a +ve sloping line may have +ve as well as -ve x-intercept hence NOT SUFFICIENT Answer: Option A _________________ Bhoopendra Singh & Sushma Jha - Founder "GMATinsight" Testimonials e-mail: info@GMATinsight.com I Mobile: +91-9999687183 / +91-9891333772 To register for One-on-One FREE ONLINE DEMO Class Call/e-mail One-On-One Private tutoring fee - US$40 per hour & for FULL COURSE (38 LIVE Sessions)-US$1000 ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 fskilnik@GMATH wrote: GMATH practice exercise (Quant Class 20) Is the x-intercept of the non-horizontal line L negative? (1) The slope of line L is equal to the y-intercept of line L. (2) The slope of line L is positive. $$c = {\left( {x - {\rm{intercept}}} \right)_{\rm{L}}}\,\,\mathop {\rm{ < }}\limits^? \,\,{\rm{0}}$$ $$L\,\,\,:\,\,\,{\rm{vertical}}\,\,{\rm{or}}\,\,{\rm{non - vertical}}\,\,{\rm{with}}\,\,m = {\rm{slop}}{{\rm{e}}_{\rm{L}}} \ne 0$$ $$\left( 1 \right)\,\,\,L\,\,{\rm{non - vertical}}\,\,{\rm{and}}\,\,L\,\,:\,\,\,y = mx + m = m\left( {x + 1} \right)$$ $$?\,\,\,:\,\,\,0 = m\left( {c + 1} \right)\,\,\,\,\,\mathop \Rightarrow \limits^{m\, \ne \,\,0} \,\,\,\,c + 1 = 0\,\,\,\,\, \Rightarrow \,\,\,\,\left\langle {{\rm{YES}}} \right\rangle$$ $$\left( 2 \right)\,\,\,{\rm{INSUFF}}.\,\,\,\,\left( {{\rm{trivial}}\,\,{\rm{geometric}}\,\,{\rm{bifurcation}}} \right)$$ The correct answer is (A). We follow the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br • FREE GMAT Exam Know how you'd score today for$0

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