Last visit was: 24 Nov 2024, 19:13 It is currently 24 Nov 2024, 19:13

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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30018
Own Kudos [?]: 36379 [2]
Given Kudos: 25928
Send PM
avatar
Intern
Intern
Joined: 19 Aug 2019
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 30018
Own Kudos [?]: 36379 [0]
Given Kudos: 25928
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12197 [0]
Given Kudos: 136
Send PM
Re: Line q on a coordinate plane is defined by the equation -2x [#permalink]
1
Carcass wrote:
Line q on a coordinate plane is defined by the equation \(-2x + 3y = 6.\)


Quantity A
Quantity B
Slope of a line perpendicular to line q
The slope of a line parallel to line q



A quick solution is to sketch the given line, and then sketch a perpendicular line.

To sketch the line given by the equation \(-2x + 3y = 6\), we need only find two points that satisfy the equation.
Let's plug in some EASY values.

If x = 0, then we get: \(-2(0) + 3y = 6\)
When we solve this for y, we get: y = 2
So, one point on the line is (0, 2)

Let's now find a second point.
If y = 0, then we get: \(-2x + 3(0) = 6\)
When we solve this for x, we get: x = -3
So, another point on the line is (-3, 0)

We can now plot both points and draw our line:
Image



Notice that the line has a POSITIVE slope.
This means that any line that's PARALLEL with the line will also have a POSITIVE slope.
Image



Conversely, any line that's PERPENDICULAR to the line will also have a NEGATIVE slope.
Image

So, we get:
QUANTITY A: some NEGATIVE slope
QUANTITY B: some POSITIVE slope

Answer: B

Cheers,
Brent
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5046
Own Kudos [?]: 75 [0]
Given Kudos: 0
Send PM
Re: Line q on a coordinate plane is defined by the equation -2x [#permalink]
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
Re: Line q on a coordinate plane is defined by the equation -2x [#permalink]
Moderators:
GRE Instructor
84 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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