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

 It is currently 21 Nov 2018, 12:22

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Key Strategies to Master GMAT SC

November 24, 2018

November 24, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

# A line segment containing the point (0,0) and (12,8) will also contain

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50730
A line segment containing the point (0,0) and (12,8) will also contain  [#permalink]

### Show Tags

11 Dec 2017, 22:07
00:00

Difficulty:

15% (low)

Question Stats:

75% (00:55) correct 25% (01:18) wrong based on 87 sessions

### HideShow timer Statistics

A line segment containing the point (0,0) and (12,8) will also contain the point

(A) (2,3)
(B) (2,4)
(C) (3,2)
(D) (3,4)
(E) (4,2)

_________________
Senior SC Moderator
Joined: 22 May 2016
Posts: 2117
A line segment containing the point (0,0) and (12,8) will also contain  [#permalink]

### Show Tags

12 Dec 2017, 11:59
1
Bunuel wrote:
A line segment containing the point (0,0) and (12,8) will also contain the point

(A) (2,3)
(B) (2,4)
(C) (3,2)
(D) (3,4)
(E) (4,2)

Given that one point is (0,0): If a line runs though the origin, its x- and y-intercepts = 0, and vice versa.

In slope-intercept form, the line's equation is
y = mx + b

in which m = slope and "+ b" is not written because
b = y-intercept = 0

Use the two points to find slope, $$\frac{rise}{run}$$

$$\frac{(y_1 - y_2)}{(x_1 - x_2)}=\frac{(8-0)}{(12-0)}=\frac{8}{12}=\frac{2}{3}$$ = slope

Line's equation is $$y=\frac{2}{3}x$$

That's straightforward. The y-coordinate must be 2/3 of the x-coordinate.

*Or, rewrite equation of line:
$$y=\frac{2}{3}x$$
$$3y=2x$$
$$3y - 2x = 0$$

Plug x and y from each answer into the equation. The pair that = 0 is the answer.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: A line segment containing the point (0,0) and (12,8) will also contain  [#permalink]

### Show Tags

08 May 2018, 10:38
Bunuel wrote:
A line segment containing the point (0,0) and (12,8) will also contain the point

(A) (2,3)
(B) (2,4)
(C) (3,2)
(D) (3,4)
(E) (4,2)

The slope of the line segment is (8 - 0)/(12 - 0) = 8/12 = 2/3. The equation of the line segment is:

y = (2/3)x + b

Substituting (0,0) we can determine b and we have:

b = 0

So the equation of the line segment is:

y = (2/3)x

We see that if x = 3, then y = 2. Thus (3, 2) is a point on the line segment.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: A line segment containing the point (0,0) and (12,8) will also contain &nbs [#permalink] 08 May 2018, 10:38
Display posts from previous: Sort by