If Line k in the xy-plane has equation y = mx + b, where m : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 22 Jan 2017, 04:32

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If Line k in the xy-plane has equation y = mx + b, where m

Author Message
TAGS:

### Hide Tags

Manager
Joined: 06 Apr 2010
Posts: 144
Followers: 3

Kudos [?]: 659 [1] , given: 15

If Line k in the xy-plane has equation y = mx + b, where m [#permalink]

### Show Tags

02 Sep 2010, 11:52
1
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

60% (02:22) correct 40% (01:32) wrong based on 94 sessions

### HideShow timer Statistics

If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is the slope of k?

(1) k is parallel to the line with equation y = (1-m)x + b +1.
(2) k intersects the line with equation y = 2x + 3 at the point (2, 7).
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 36596
Followers: 7093

Kudos [?]: 93419 [1] , given: 10563

### Show Tags

02 Sep 2010, 12:19
1
KUDOS
Expert's post
2
This post was
BOOKMARKED
udaymathapati wrote:
If Line k in the xy-plane has equation y = mx + b, where m and b are constants, what is
the slope of k?
(1) k is parallel to the line with equation y = (1-m)x + b +1.
(2) k intersects the line with equation y = 2x + 3 at the point (2, 7).

$$y=mx+b$$ is called point-intercept form of equation of a line. Where: $$m$$ is the slope of the line; $$b$$ is the y-intercept of the line; $$x$$ is the independent variable of the function $$y$$.

So we are asked to find the value of $$m$$.

(1) k is parallel to the line with equation y = (1-m)x + b +1 --> parallel lines have the same slope --> slope of this line is $$1-m$$, so $$1-m=m$$ --> $$m=\frac{1}{2}$$. Sufficient.

(2) k intersects the line with equation y = 2x + 3 at the point (2, 7) --> so line k contains the point (2,7) --> $$7=2m+b$$ --> cannot solve for $$m$$. Not sufficient.

For more on this issues please check Coordinate Geometry chapter of Math Book (link in my signature).

Hope it helps.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13497
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: If Line k in the xy-plane has equation y = mx + b, where m [#permalink]

### Show Tags

16 Aug 2014, 05:05
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13497
Followers: 577

Kudos [?]: 163 [0], given: 0

Re: If Line k in the xy-plane has equation y = mx + b, where m [#permalink]

### Show Tags

29 Jun 2016, 23:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________
Re: If Line k in the xy-plane has equation y = mx + b, where m   [#permalink] 29 Jun 2016, 23:42
Similar topics Replies Last post
Similar
Topics:
In the graph above, the equation of line m is y = ax + b. What is the 2 15 Nov 2016, 00:37
8 The equation of line k is y = mx + b, where m and b are some constants 9 16 Jul 2015, 00:28
14 The equation of line k is y=mx+b, where m and b are constant 9 29 Apr 2014, 11:21
14 If Line k in the xy-plane has equation y = mx + b, where m 9 26 Mar 2012, 12:56
6 If Line k in the xy-plane has equation y = mx + b, where m and b are 14 17 Nov 2009, 19:53
Display posts from previous: Sort by