It is currently 12 Aug 2020, 09:20

### 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

# In a rectangular coordinate system, which of the following p

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 12607
Followers: 268

Kudos [?]: 3169 [0], given: 11649

In a rectangular coordinate system, which of the following p [#permalink]  29 Jul 2020, 10:51
Expert's post
00:00

Question Stats:

63% (01:22) correct 36% (01:51) wrong based on 11 sessions
In a rectangular coordinate system, which of the following points is intersected by the line connected by the coordinates (5,6) and (21,18)?

A. (9,9)
B. (12,12)
C. (13,13)
D. (12,13)
E. (16,15)

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

GRE Instructor
Joined: 10 Apr 2015
Posts: 3672
Followers: 142

Kudos [?]: 4236 [1] , given: 67

Re: In a rectangular coordinate system, which of the following p [#permalink]  29 Jul 2020, 11:06
1
KUDOS
Expert's post
Carcass wrote:
In a rectangular coordinate system, which of the following points is intersected by the line connected by the coordinates (5,6) and (21,18)?

A. (9,9)
B. (12,12)
C. (13,13)
D. (12,13)
E. (16,15)

Kudos for the right answer and explanation

One approach is to first find the slope
Slope = (18 - 6)/(21 - 5) = 12/16 = 3/4

IMPORTANT: if the slope is 3/4, then we can start at (5,6) and move up 3 spaces and then move right 4 spaces to find other points on the line (with INTEGER values)

Start at: (5,6)
Move 3 units up and 4 units to the right to get to the point (9,9) (check answer choices - it's there!)

Cheers ,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.

Manager
Joined: 02 May 2020
Posts: 90
Followers: 1

Kudos [?]: 67 [0], given: 14

Re: In a rectangular coordinate system, which of the following p [#permalink]  29 Jul 2020, 11:30
Equation of line passing from (5,6) and (21,18) can be written as

(y - 6)/(x - 5) = (18 - 6)/(21 - 5) = 12/16 = 3/4
=> 4y - 24 = 3x - 15
=> 4y = 3x + 9

Option A (9,9) satisfies this equation.

Re: In a rectangular coordinate system, which of the following p   [#permalink] 29 Jul 2020, 11:30
Display posts from previous: Sort by