• 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 Which of the following points is the intersection between tagged by: AAPL This topic has 3 expert replies and 0 member replies Top Member Which of the following points is the intersection between Timer 00:00 Your Answer A B C D E Global Stats Difficult Princeton Review Which of the following points is the intersection between the lines y = 3x + 6 and y = -2x - 4? A. (2, 0) B. (0, -2) C. (-2, 0) D. (0, 2) E. (1, 5) OA C GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12989 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 AAPL wrote: Princeton Review Which of the following points is the intersection between the lines y = 3x + 6 and y = -2x - 4? A. (2, 0) B. (0, -2) C. (-2, 0) D. (0, 2) E. (1, 5) OA C KEY CONCEPT: The point of intersection (call P) of the lines y = 3x + 6 and y = -2x - 4 will be such that the x- and y-coordinates of P will satisfy BOTH equations. Since both equations are set equal to y, we can write: 3x + 6 = -2x - 4 Add 2x to both sides: 5x + 6 = - 4 Subtract 6 from both sides: 5x = - 10 Solve: x = -2 So, the x-coordinate must be -2 Check the answer choices . . . . . only answer choice C has -2 for the x-coordinate. Answer: C ASIDE: We could have also found the y-coordinate by plugging x = -2 into either of the given equations. For example, take y = 3x + 6 and replace x with -2 to get: y = 3(-2) + 6 = -6 + 6 = 0 So, y-coordinate is 0 Cheers, Brent _________________ Brent Hanneson – Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Hi All, We're asked which of the following points is the intersection between the lines y = 3x + 6 and y = -2x - 4. This question can be solved in a number of different ways, including by TESTing THE ANSWERS. Since we're dealing with two lines - and we now that the two lines intersect - there will only be one co-ordinate that 'fits' both equations. Looking at the answer choices, the numbers involved are all fairly simple, so we just have to 'plug in' each pair until we find the one that properly fits both of the given lines. Since X=0 is in two of the answers, we can start there. Plugging in X=0 will get us DIFFERENT values for Y though (y = +6 and Y = -4), so neither of those answers is correct and we can eliminate Answers B and D. Answer A gives us (2,0) which does not fit the first equation. Answer C DOES match both equations though, so it must be the answer. Final Answer: C GMAT assassins aren't born, they're made, Rich GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2801 messages Followed by: 18 members Upvotes: 43 AAPL wrote: Princeton Review Which of the following points is the intersection between the lines y = 3x + 6 and y = -2x - 4? A. (2, 0) B. (0, -2) C. (-2, 0) D. (0, 2) E. (1, 5) OA C To find the point of intersection of two lines, we set their equations equal to each other: 3x + 6 = -2x - 4 5x = -10 x = -2 Substituting the x-value = -2 into either equation, we obtain y = 0, and thus (-2, 0) is the point of intersection. Answer: C • FREE GMAT Exam Know how you'd score today for$0

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 Veritas GMAT Class
Experience Lesson 1 Live Free

Available with Beat the GMAT members only code

• Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

• 1 Hour Free
BEAT THE GMAT EXCLUSIVE

Available with Beat the GMAT members only code

• 5 Day FREE Trial
Study Smarter, Not Harder

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

• Award-winning private GMAT tutoring
Register now and save up to \$200

Available with Beat the GMAT members only code

• Get 300+ Practice Questions

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

Top First Responders*

1 Ian Stewart 50 first replies
2 Brent@GMATPrepNow 37 first replies
3 Jay@ManhattanReview 33 first replies
4 GMATGuruNY 29 first replies
5 ceilidh.erickson 14 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

209 posts
2 Max@Math Revolution

Math Revolution

92 posts
3 Brent@GMATPrepNow

GMAT Prep Now Teacher

79 posts
4 Ian Stewart

GMATiX Teacher

57 posts
5 GMATGuruNY

The Princeton Review Teacher

49 posts
See More Top Beat The GMAT Experts