Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 25 May 2017, 13:55

### 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

# Events & Promotions

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

# The line represented by the equation y = - 2 x + 6 is

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

### Hide Tags

Current Student
Joined: 06 Sep 2013
Posts: 2005
Concentration: Finance
Followers: 68

Kudos [?]: 643 [1] , given: 355

The line represented by the equation y = - 2 x + 6 is [#permalink]

### Show Tags

20 Sep 2013, 16:17
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

50% (03:30) correct 50% (02:15) wrong based on 14 sessions

### HideShow timer Statistics

The line represented by the equation y = - 2 x + 6 is the perpendicular bisector of the line segment AB. If A has the coordinates (7,2), what are the coordinates for B?
Math Expert
Joined: 02 Sep 2009
Posts: 38878
Followers: 7732

Kudos [?]: 106121 [0], given: 11607

Re: The line represented by the equation y = - 2 x + 6 is [#permalink]

### Show Tags

20 Sep 2013, 16:53
jlgdr wrote:
The line represented by the equation y = - 2 x + 6 is the perpendicular bisector of the line segment AB. If A has the coordinates (7,2), what are the coordinates for B?

Draw y = - 2 x + 6 and use the options.

Similar questions:
in-the-rectangular-coordinate-system-above-the-line-y-x-144774.html
in-the-rectangular-coordinate-system-the-line-y-x-is-the-132646.html
in-the-rectangular-coordinate-system-above-the-line-y-x-129932.html
the-line-represented-by-the-equation-y-4-2x-is-the-127770.html
_________________
Intern
Joined: 26 Jun 2015
Posts: 1
Followers: 0

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

y = -2 + 6 perpendicular bisector [#permalink]

### Show Tags

26 Jun 2015, 16:03
Hey guys,

This might be an easy question for some - but I'm struggling to understand it.

The line represented by the equation y = -2x + 6 is the perpendicular bisector of the line segment AB. If A has coordinates (7,2), what are the coordinates for B?

[Reveal] Spoiler:
(-1,-2) If y= -2x + 6 is the perpendicular bisector of the segment AB, then the line containing segment AB must have a slop of 0.5 (the negative inverse of -2)

Question: - Why is the negative inverse of -2 0.5? I have it in my head that it is because opposite of 2/1 is 1/2 which is 0.5?.

Therefore you can represent this line with the equation y = 0.5x + b. Substitute the coordinates (7,2) into the equation to find the value of b.

2 = 0.5(7) + b
b = -1.5

Question: - Why does this equal -1.5? 0.5 x 7 = 3.5 / 2 = 1.75 ?

The line containing AB is y = 0.5 x - 1.5

Find the point at which the perpendicular bisector intersect AB by setting the two equations y = -x + 6 and y = 0.5x - 1.5x equal to each other.

-2x + 6 = 0.5x - 1.5
2.5 x = 7.5
x = 3, y = 0

The two lines intersect at (3,0) which is midpoint of AB.

X Y
A 7 2
MID 3 0
B -1 -2

Would it be easier to set this out on a graph?

Thanks in advance!
SVP
Joined: 08 Jul 2010
Posts: 1635
Location: India
GMAT: INSIGHT
WE: Education (Education)
Followers: 90

Kudos [?]: 1760 [1] , given: 45

Re: y = -2 + 6 perpendicular bisector [#permalink]

### Show Tags

26 Jun 2015, 22:53
1
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
daveglasgow wrote:
Hey guys,

This might be an easy question for some - but I'm struggling to understand it.

The line represented by the equation y = -2x + 6 is the perpendicular bisector of the line segment AB. If A has coordinates (7,2), what are the coordinates for B?

Would it be easier to set this out on a graph?

Thanks in advance!

Please find the explanation as attached.
Attachments

File comment: www.GMATinsight.com

GMATinsight.jpg [ 225.26 KiB | Viewed 1369 times ]

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15443
Followers: 649

Kudos [?]: 209 [0], given: 0

Re: The line represented by the equation y = - 2 x + 6 is [#permalink]

### Show Tags

22 Nov 2016, 10:02
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.
_________________
Manager
Joined: 03 Oct 2013
Posts: 78
Followers: 0

Kudos [?]: 15 [1] , given: 14

The line represented by the equation y = - 2 x + 6 is [#permalink]

### Show Tags

22 Nov 2016, 15:26
1
This post received
KUDOS
Given y = -2x+6 ---(1)

So slope = -2.

Slope of perpendicular line = 1/2. So equation of line is y=1/2x+C. substitute A(7,2) we get C = -3/2.

Therefore perpendicular line is y=1/2x-3/2----(2)

Solve (1) and (2) for x and y. 1/2x-3/2 = -2x+6 =>5/2x = 25/2 => x = 3. therefor y= 0 i.e. Point of interesection say O = (3,0)

Let point B be (m,n). Since O is hte mid point of A and B -> (m+7)/2 = 3 and (n+2)/2 = 0 => m= -1 and n=-2. Therefore B = (-1,-2).

Please give +1 Kudos if you like the answer
_________________

P.S. Don't forget to give Kudos on the left if you like the solution

The line represented by the equation y = - 2 x + 6 is   [#permalink] 22 Nov 2016, 15:26
Similar topics Replies Last post
Similar
Topics:
What is the x-intercept of the line with the equation 2y=8x-14? 1 17 Mar 2017, 22:23
4 Which of the above lines fit the equation y = − 2x + 2 ? 6 23 Feb 2017, 19:03
2 The line represented by equation y=x is the perpendicular 2 29 Oct 2012, 06:54
49 The line represented by the equation y = 4 – 2x is the 32 17 May 2016, 07:31
4 The line represented by the equation y=4-2x is the perpendi 5 22 Jun 2013, 12:59
Display posts from previous: Sort by

# The line represented by the equation y = - 2 x + 6 is

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

 Powered by phpBB © phpBB Group and phpBB SEO 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®.