In the rectangular coordinate system, a line passes through the points \((0,5)\) and \((7,0).\) Which of the following

This topic has expert replies
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

In the rectangular coordinate system, a line passes through the points \((0,5)\) and \((7,0).\) Which of the following points must the line also pass through?

A) \((-14, 10)\)

B) \((-7, 5)\)

C) \((12, -4)\)

D) \((14, -5)\)

E) \((21, -9)\)

[spoiler]OA=D[/spoiler]

Source: Manhattan GMAT
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8083
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members
Vincen wrote:
Tue Jun 30, 2020 7:08 am
In the rectangular coordinate system, a line passes through the points \((0,5)\) and \((7,0).\) Which of the following points must the line also pass through?

A) \((-14, 10)\)

B) \((-7, 5)\)

C) \((12, -4)\)

D) \((14, -5)\)

E) \((21, -9)\)

[spoiler]OA=D[/spoiler]

Solution:

We see that the slope of the line is (0 - 5) / (7 - 0) = -5/7. Now let’s check each given answer choice by determining the slope between that point and (0, 5).

A. (10 - 5) / (-14 - 0) = 5/(-14) = -5/14 → This is not -5/7.

B. (5 - 5) / (-7 - 0) = 0/(-7) = 0 → This is not -5/7.

C. (-4 - 5) / (12 - 0) = -9/12 = -3/4 → This is not -5/7.

D. (-5 - 5) / (14 - 0) = -10/14 = -5/7 → This is -5/7.

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage