Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Lines k and l lie in the xy-plane. Is the slope of line k [#permalink]
03 Jan 2008, 07:25

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

Lines k and l lie in the xy-plane. Is the slope of line k less than the slope of line l ? (1) The y-intercept of line k is greater than the y-intercept of line l. (2) Lines k and l intersect at the point (1, 6)

Each statement alone is insufficient for obvious reasons.

Now taken together:

We know that they cross at (1,6) which is in the first quadrant and very close to the y-axis.

it says that K has a greater y-intercept. Now picture the lines meeting at (1,6):

if both slopes are positive then K will have a smaller slope (ie less step). the flatter the slope the higher up it will cross. a slope approaching a flat line will get very close to crossing the y-axis at 6, whereas a very steep slope could potentially cross the y-axis at a negative point!

now if both slopes are negative the opposite is true. the steeper of the two negative slopes will cross at a greater point. thus, if K crosses higher up and they're both negative it will be a smaller number (-3 vs -1 sort of thing).

now if one slope is negative and one slope is positive the negative slope will ALWAYS cross at a higher point. so in this case K would always be the negative one, which is always a smaller number than a positive number.

I really can't explain it much better than that. It's something you have to visualize. maybe draw out the coordinate plane and sketch out some combinations to see what I mean. sorry if I'm not being terribly helpful here, but I didn't use any math or tricks to get this answer.

From S1 we can not conclude anything because slope ob both lines can be anything From S2 we can not conclude anything either. From S1 and S2, and drawing all the possible lines l and k we can conclude that it is sufficient

Hello everyone! Researching, networking, and understanding the “feel” for a school are all part of the essential journey to a top MBA. Wouldn’t it be great... ...

Hey Everyone, I am launching a new venture focused on helping others get into the business school of their dreams. If you are planning to or have recently applied...