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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 ## Co-ordinate geometry -2 ##### This topic has 1 expert reply and 3 member replies ## Co-ordinate geometry -2 ABC is a right angle triangle, right angled at B Co ordinates of A, B and C are (X,Z), (X,Y) and (X+3, Y) respectively. Length of line AC is 5 units, x and y are greater than or equal to 0, the vertices of triangle ABC have coordinate values as shown, and the value of AC is as shown. If x = 3, then what could be the slope of line AC? NOTE : fig. is drawn in 1st quadrant with Z > Y i.e point B is above A. A. -4/3 B. 2/3 C. 1 D. 4/3 E. 2 OA A ### GMAT/MBA Expert GMAT Instructor Joined 11 Aug 2010 Posted: 511 messages Followed by: 86 members Upvotes: 344 guerrero wrote: ABC is a right angle triangle, right angled at B Co ordinates of A, B and C are (X,Z), (X,Y) and (X+3, Y) respectively. Length of line AC is 5 units, x and y are greater than or equal to 0, the vertices of triangle ABC have coordinate values as shown, and the value of AC is as shown. If x = 3, then what could be the slope of line AC? NOTE : fig. is drawn in 1st quadrant with Z > Y i.e point B is above A. Are you sure? If Z > Y, then as per the problem statement, point A will be above point B because coordinates of A and B are (X, z) and (X, Y). If that is the case, then refer to the following diagram, So, AC will have a negative slope. Only option A works. The correct answer is A. _________________ Anju Agarwal Quant Expert, Gurome Backup Methods : General guide on plugging, estimation etc. Wavy Curve Method : Solving complex inequalities in a matter of seconds. Â§ GMAT with Gurome Â§ Admissions with Gurome Â§ Career Advising with Gurome Â§ Master | Next Rank: 500 Posts Joined 08 Apr 2012 Posted: 227 messages Followed by: 3 members Upvotes: 12 [quote="Anju@Gurome"] guerrero wrote: Are you sure? If Z > Y, then as per the problem statement, point A will be above point B because coordinates of A and B are (X, z) and (X, Y). If that is the case, then refer to the following diagram, So, AC will have a negative slope. Only option A works. The correct answer is A. Thanks Anju , this was really simple . The statement kind of confused me .Source is Grockit . I will review it . Junior | Next Rank: 30 Posts Joined 26 Aug 2010 Posted: 15 messages [quote="guerrero"] Anju@Gurome wrote: guerrero wrote: Are you sure? If Z > Y, then as per the problem statement, point A will be above point B because coordinates of A and B are (X, z) and (X, Y). If that is the case, then refer to the following diagram, So, AC will have a negative slope. Only option A works. The correct answer is A. Thanks Anju , this was really simple . The statement kind of confused me .Source is Grockit . I will review it . How did you know that slope is negative, means how did you get the direction that for Y it will go down? Master | Next Rank: 500 Posts Joined 19 Sep 2013 Posted: 269 messages Followed by: 7 members Upvotes: 94 coolanujdel wrote: How did you know that slope is negative, means how did you get the direction that for Y it will go down? For the GMAT it is very useful to know how a line with a particular slope (positive, negative, zero) actually looks like: Thus it was easier to select a negative value as the answer. For more details on this you can read this article : http://www.cliffsnotes.com/math/geometry/coordinate-geometry/slope-of-a-line To calculate the value of the slope: Referring to the image provided by Anju in the above posts: We know that X = 3, AC = 5 Thus, co-ordinate of B = (3, Y) co-ordinate of C = (6, Y) The distance BC can be found out from above : BC = 3 Also AB = 4 (Using the property of 3-4-5 right angled triangle) The new diagram with the co-ordinates updated: Now, Slope of a line = Rise/Run Slope of AC = [ y - (y + 4) ] / [ 6 - 3 ] = -4/3 is the slope • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE 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

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