• NEW! FREE Beat The GMAT Quizzes
Hundreds of Questions Highly Detailed Reporting Expert Explanations
• 7 CATs FREE!
If you earn 100 Forum Points

Engage in the Beat The GMAT forums to earn
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 ## In the xy-plane, if line k has negative slope, is the ##### This topic has 1 expert reply and 0 member replies ### Top Member ## In the xy-plane, if line k has negative slope, is the ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult In the xy-plane, if line k has negative slope, is the y-intercept of line k positive? (1) The x-intercept of line k is less than the y-intercept of line k. (2) The slope of line k is less than -2. OA C Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1946 messages Followed by: 30 members Upvotes: 470 BTGmoderatorDC wrote: In the xy-plane, if line k has negative slope, is the y-intercept of line k positive? (1) The x-intercept of line k is less than the y-intercept of line k. (2) The slope of line k is less than -2. OA C Source: Veritas Prep Say the equation of the line is y = mx + c, where m is the slope and c is the y-intercept of the line Since it is given that line k has a negative slope, we have m < 0 Thus, we can write the equation as y =-|m|x + c We have to determine whether c < 0. Let's take each statement one by one. (1) The x-intercept of line k is less than the y-intercept of line k. Rewriting the equation y =-|m|x + c as y - c = -|m|x => [-1/|m|]*y + c/|m| = x Thus, we have x-intercept of the line k = c/|m| From the given information, we have c/|m| < c. This information is insufficient since c may or may not be positive. Insufficient. (2) The slope of line k is less than -2. => -|m| < -2 => |m| > 2. Insufficient to determine wether c < 0. (1) and (2) together From (1), we have c/|m| < c and from (2), we have |m| > 2. Let's assume that y-intercept c is positive. Thus, we have If c is positive, from the given inequality c/|m| < c, we cancel c; thus, we have 1/|m| < 1, which is possible since |m| > 2. The y-intercept c cannot be negative. let's see how. If c is negative, from the given inequality c/|m| < c, we have [-c/|m|] < -c. We can cancel c; thus, we have -1/|m| < -1, which is NOT possible since |m| > 2. Thus, c > 0. Sufficient. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring Houston | SAT Prep Courses Seattle | Charlotte IELTS Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

Available with Beat the GMAT members only code

• Free Practice Test & Review
How would you score if you took the GMAT

Available with Beat the GMAT members only code

• FREE GMAT Exam
Know how you'd score today for \$0

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

Available with Beat the GMAT members only code

### Top First Responders*

1 Ian Stewart 59 first replies
2 Brent@GMATPrepNow 59 first replies
3 Jay@ManhattanReview 53 first replies
4 GMATGuruNY 30 first replies
5 ceilidh.erickson 20 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

### Most Active Experts

1 Scott@TargetTestPrep

Target Test Prep

188 posts
2 Max@Math Revolution

Math Revolution

90 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

88 posts
4 Ian Stewart

GMATiX Teacher

68 posts
5 Jay@ManhattanReview

Manhattan Review

61 posts
See More Top Beat The GMAT Experts