GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 24 Jun 2018, 21:18

Close

GMAT 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 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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 03 Jan 2015
Posts: 84
GMAT ToolKit User
In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i [#permalink]

Show Tags

New post 14 Jun 2016, 17:01
5
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

72% (00:24) correct 28% (00:25) wrong based on 366 sessions

HideShow timer Statistics

In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-intercept of the line?

A. -9
B. -3
C. 0
D. 3
E. 9
4 KUDOS received
Manager
Manager
User avatar
Joined: 19 Dec 2015
Posts: 112
Location: United States
GMAT 1: 720 Q50 V38
GPA: 3.8
WE: Information Technology (Computer Software)
Re: In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i [#permalink]

Show Tags

New post 14 Jun 2016, 21:08
4
Let the line be represented by a general equation y=mx+b, where m = slope (3) and b=y intercept. We are also given the value of x-intercept 3.
Theory : y intercept represents the point on the line where the x=0, and x intercept represents the point on the line where the y=0.
Putting these values in the equation : 0 = 3*3 + b => b = -9. Hence A.
2 KUDOS received
Manager
Manager
avatar
Joined: 29 Nov 2011
Posts: 109
Re: In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i [#permalink]

Show Tags

New post 14 Jun 2016, 22:01
2
y = mx+c
m=3 then y= 3x+c
put y=0 and x=3 get C as -9
this is the y intercept.
Expert Post
8 KUDOS received
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8102
Location: Pune, India
Re: In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i [#permalink]

Show Tags

New post 14 Jun 2016, 22:02
8
3
saiesta wrote:
In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-intercept of the line?

A. -9
B. -3
C. 0
D. 3
E. 9


x intercept 3 means the line passes through (3, 0). Slope of 3 means y co-ordinate increases by 3 units for every 1 unit rise in x co-ordinate or y co-ordinate decrease by 3 units for every 1 unit decrease in x co-ordinate.
At y intercept, x co-ordinate is 0. So if we reduce x by 3 (to go from 3 to 0), y will reduce by 9.

So, the line will pass through (0, -9)

Answer (A)
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

1 KUDOS received
Manager
Manager
avatar
B
Joined: 14 Jun 2016
Posts: 70
Location: India
GMAT 1: 600 Q49 V21
WE: Engineering (Manufacturing)
Reviews Badge
Re: In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i [#permalink]

Show Tags

New post 05 Aug 2017, 21:57
1
x intercept 3 means the line passes through (3, 0).
Let the y be y and hence the line passes through (0, y).
Now slope=m=(y2-y1)/(x2-x1)
Hence 3=y/-3
So y=-9
A is the correct answer.
_________________

If you appreciate my post then please click +1Kudos :)

Manager
Manager
avatar
G
Joined: 27 Jan 2016
Posts: 147
Schools: ISB '18
GMAT 1: 700 Q50 V34
Re: In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i [#permalink]

Show Tags

New post 05 Aug 2017, 23:17
1
y=mx+c

substitute m=3 and point (3,0) in the above equation

0=3(3)+c

c=-9
Intern
Intern
avatar
Joined: 25 Jul 2017
Posts: 7
Re: In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i [#permalink]

Show Tags

New post 06 Aug 2017, 02:04
Mathematical approach-
we know equation of a line is
y = mx + C
Now, as given at X =3, y = 0, we can get below,
0 = 3*3 + C => C = -9
Now, the question has asked for y intercept which is nothing but C in the equation y = mx+C.
we can even cross verify by substituting again -
y = 3*0 = (-9) = -9 Hence, A

One, intuitive approach is that- it is given slope =3
=> y/x = +3 meaning for every 1 unit change in X, there is a 3 unit change in y (in the same direction due to +ve sign)
Therefore, from x =3 (given intercept) to x =0 (when there is y intercept only), there is a decrease of 3 units of x. Hence y will decrease 3 time of it => 3 *3 = 9. Since the value is decreasing, y (will be negative) = -9.
Expert Post
EMPOWERgmat Instructor
User avatar
D
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11833
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i [#permalink]

Show Tags

New post 28 Jan 2018, 15:18
Hi All,

You can deal with this prompt by either drawing a picture or by just creating an equation based on the facts that you know.

The slope-intercept formula for a line is Y = MX + B

From the prompt, we know that the slope is 3 and the X-INTERCEPT is 3 (meaning that X=3 when Y=0)

Y = MX + B
Y = 3X + B

0 = 3(3) + B
0 = 9 + B
-9 = B

So the Y-intercept is -9

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Re: In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i   [#permalink] 28 Jan 2018, 15:18
Display posts from previous: Sort by

In the xy-plane, a line has slope 3 and x-intercept 3. What is the y-i

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.