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

 It is currently 21 Oct 2019, 13:27 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

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.  In the xy-plane, line d has the equation y = mx + b. Line d is paralle

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

Hide Tags

Senior Manager  P
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 434
In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

Show Tags

7 00:00

Difficulty:   35% (medium)

Question Stats: 73% (02:29) correct 27% (02:46) wrong based on 82 sessions

HideShow timer Statistics

In the xy-plane, line d has the equation y = mx + b. Line d is parallel to line f, whose equation is 4x + 5y = 15, and intersects line g at the point (4,5). What is the y-intercept of line d?

A) 1.8
B) 3
C) 8
D) 8.2
E) 15
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

Show Tags

1
1
energetics wrote:
In the xy-plane, line d has the equation y = mx + b. Line d is parallel to line f, whose equation is 4x + 5y = 15, and intersects line g at the point (4,5). What is the y-intercept of line d?

A) 1.8
B) 3
C) 8
D) 8.2
E) 15

4x + 5y = 15
y= -4/5x+3
(4,5)
eqn of line D = y=-4/5x+c
solve with (4,5) for C
we get C = 8.2
IMO D
Manager  B
Joined: 17 Sep 2017
Posts: 101
Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

Show Tags

Hi can anyone help me with the explanation of this answer?
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

Show Tags

abhishek31 wrote:
Hi can anyone help me with the explanation of this answer?

abhishek31
anything in specific you in doubt then please highlight

we are given
4x + 5y = 15
eqn of line ; y=mx+c
y= y coordinate ; x= x coordinate and c= y intercept

so we can re write 4x + 5y = 15 as
y= -4/5x+3
(4,5) given
slope of line will be same ; m = -4/5 ,we need to find C for
eqn of line D = y=-4/5x+c
solve with (4,5) for C
we get C = 8.2
IMO D
Manager  B
Joined: 01 Jan 2019
Posts: 67
Concentration: Finance, Economics
GPA: 3.24
Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

Show Tags

Archit3110 wrote:
abhishek31 wrote:
Hi can anyone help me with the explanation of this answer?

abhishek31
anything in specific you in doubt then please highlight

we are given
4x + 5y = 15
eqn of line ; y=mx+c
y= y coordinate ; x= x coordinate and c= y intercept

so we can re write 4x + 5y = 15 as
y= -4/5x+3
(4,5) given
slope of line will be same ; m = -4/5 ,we need to find C for
eqn of line D = y=-4/5x+c
solve with (4,5) for C
we get C = 8.2
IMO D

The (4,5) given is the intersection so why do we take it for solving the equation?

Posted from my mobile device
Senior Manager  P
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 434
Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

Show Tags

Shef08 Because we need a point on the line to find it's y-intercept.
line d intersects line g at (4,5) which means the point is a solution for/part of both lines).

Generally we need either 2 points to first find the slope, or a point and the slope to find the equation.
Intern  B
Joined: 14 Jan 2017
Posts: 6
Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle  [#permalink]

Show Tags

Can someone please tell why I have this wrong?

Y= -(4/5)x + b
5= -(4/5)*4 + b
b= 9/5

Y= -(4/5)*0 + 9/5
Y=9/5

Thank you  Re: In the xy-plane, line d has the equation y = mx + b. Line d is paralle   [#permalink] 17 May 2019, 00:20
Display posts from previous: Sort by

In the xy-plane, line d has the equation y = mx + b. Line d is paralle

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

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