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

It is currently 21 Mar 2019, 00:52

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

What is the equation of the line that passes through the points (−4, 3

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 53748
What is the equation of the line that passes through the points (−4, 3  [#permalink]

Show Tags

New post 25 Feb 2019, 02:33
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:09) correct 10% (01:11) wrong based on 30 sessions

HideShow timer Statistics

What is the equation of the line that passes through the points (−4, 3) and (6, −2) ?

A. y = −1/2*x + 1
B. y = −1/2*x + 2
C. y = 1/2*x + 5
D. y = 1/2*x + 7
E. y = 1/2*x + 8

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
B
Joined: 06 Jan 2019
Posts: 10
Re: What is the equation of the line that passes through the points (−4, 3  [#permalink]

Show Tags

New post 25 Feb 2019, 02:47
3 = -4k + n
-2 = 6k + n

You can do the system and have -10k=5, k=-1/2, then calculate n from an equation and get +1. Therefore A

Or you can consider the faster approach.

You draw the line in the coordinate plane just to see how it is going down, and therefore the k must be negative. Eliminate C, D and E as k is positive.

Now plug in the values of given points into option A -> correct, or plug in the values in B -> incorrect -> therefore A is correct.
SVP
SVP
User avatar
P
Joined: 18 Aug 2017
Posts: 2408
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: What is the equation of the line that passes through the points (−4, 3  [#permalink]

Show Tags

New post 25 Feb 2019, 04:34
Bunuel wrote:
What is the equation of the line that passes through the points (−4, 3) and (6, −2) ?

A. y = −1/2*x + 1
B. y = −1/2*x + 2
C. y = 1/2*x + 5
D. y = 1/2*x + 7
E. y = 1/2*x + 8


use formula


y-y1/x-x1= y2-y1/x2-x1
solve
we get
y = −1/2*x + 1
IMO A
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5380
Location: United States (CA)
Re: What is the equation of the line that passes through the points (−4, 3  [#permalink]

Show Tags

New post 04 Mar 2019, 08:50
Bunuel wrote:
What is the equation of the line that passes through the points (−4, 3) and (6, −2) ?

A. y = −1/2*x + 1
B. y = −1/2*x + 2
C. y = 1/2*x + 5
D. y = 1/2*x + 7
E. y = 1/2*x + 8


First, let's determine the slope, using the two ordered pairs:

Slope = (y2 - y1)/(x2 - x1) = (-2 - 3)/(6 - (-4)) = -5/10 = -1/2

Next we can determine the y-intercept. We could use either ordered pair to get the x and y values to substitute into the slope-intercept form of the line, but we choose (6, -2).

-2 = (6)(-1/2) + b

-2 = -3 + b

1 = b

Thus, the equation is y = −1/2*x + 1.

Alternate Solution:

Letting the equation of the line be y = mx + n, we note that both of these points must satisfy this equation since they are on this line.

From the first point, substituting x = -4 and y = 3, we obtain the equation 3 = -4m + n.

From the second point, substituting x = 6 and y = -2, we obtain the equation -2 = 6m + n.

Subtracting the second equation from the first, we find that 5 = -10m; therefore m = -1/2.

Multiplying the first equation by 3/2 and adding to the second equation, we find 9/2 - 2 = 3n/2 + n. Simplifying, we get 5/2 = 5n/2; which implies n = 1.

Thus, the equation of the line is y =-1/2*x + 1.

Answer: A
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

GMAT Club Bot
Re: What is the equation of the line that passes through the points (−4, 3   [#permalink] 04 Mar 2019, 08:50
Display posts from previous: Sort by

What is the equation of the line that passes through the points (−4, 3

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


Copyright

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®.