Last visit was: 25 Dec 2024, 04:59 It is currently 25 Dec 2024, 04:59
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

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 GRE 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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

In the xy-plane, line ? passes through the points (0, −3)

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30490
Own Kudos [?]: 36850 [0]
Given Kudos: 26106
Send PM
In the xy-plane, line ? passes through the points (0, −3) [#permalink] New post   10 Nov 2020, 04:11
Expert Reply
00:00

Question Stats:

73% (00:48) correct 26% (00:35) wrong based on 23 sessions

Hide Show timer Statistics

In the xy-plane, line \(n\) passes through the points (0, −3) and (−1,0).

Quantity A
Quantity B
The slope of line \(n\)
The slope of a line perpendicular to line \(n\)




A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Source: 320 GRE Math Questions
ShowHide Answer
Official Answer
B
avatar
sameerkataria2801
Intern
Intern
Joined: 14 Jul 2020
Posts: 3
Own Kudos [?]: 3 [0]
Given Kudos: 0
GRE 1: Q170 V158
Send PM
Re: In the xy-plane, line ? passes through the points (0, −3) [#permalink] New post   10 Nov 2020, 08:39
1
slope of a line = \(\frac{(y2-y1)}{(x2-x1)}\)
i.e slope = \(\frac{(-3-0)}{(0-(-1))}\) = -3

so m1 = -3

Now for two lines to be perpendicular, the product of there slopes has to be equal to -1
so m1 * m2 = -1
i.e -3 * m2 = -1
so m2 = \(\frac{(1)}{(3)}\)

m2>m1
so answer is B
avatar
B
Papist
Manager
Manager
Joined: 25 Jul 2020
Posts: 75
Own Kudos [?]: 74 [0]
Given Kudos: 1
Send PM
Re: In the xy-plane, line ? passes through the points (0, −3) [#permalink] New post   10 Nov 2020, 13:33
We can use the equation (y2-y1)/(x2-x1) to find the slope, which is -3. Intuitively, we know that a line that is perpendicular to this one must have a positive slope; thus Quantity B is greater.
Prep Club for GRE Bot
gmatclubot
Re: In the xy-plane, line ? passes through the points (0, −3) [#permalink]
10 Nov 2020, 13:33
Moderators:
adewale223
GRE Instructor
88 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1115 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact