Which of the following could be the equation of line m?

Expert replies

Previous Topic Next Topic

VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Sun Apr 28, 2019 9:54 am

Timer

00:00

Answers

Stats

Difficulty—

Which of the following could be the equation of line m?

(A) 6y + 6x = 7
(B) 3y = -4x - 3
(C) 5y + 10 = -4x
(D) y = 2
(E) x = -2

[spoiler]OA=A[/spoiler]

Source: Magoosh

Like this post

Source: Beat The GMAT — Problem Solving | Sun Apr 28, 2019 9:54 am

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Sun Apr 28, 2019 12:41 pm

VJesus12 wrote:

Which of the following could be the equation of line m?

(A) 6y + 6x = 7
(B) 3y = -4x - 3
(C) 5y + 10 = -4x
(D) y = 2
(E) x = -2

First off, we can eliminate answer choice D, since y = 2 is the equation of a HORIZONTAL line, and the given line is NOT horizontal.
Next, we can eliminate answer choice E, since x = -2 is the equation of a VERTICAL line, and the given line is NOT vertical.

Now notice that line m has a POSITIVE y-intercept.
In other words, when x = 0, y is some positive number.

Take the remaining answer choices and replace x with 0, and then find the corresponding y-value.

(A) 6y + 6(0) = 7
Simplify: 6y = 7
Solve: y = 7/6.
Since y is positive, we can keep A

(B) 3y = -4(0) - 3
Simplify: 3y = -3
Solve: y = -1
Since y is negative, we'll ELIMINATE B

(C) 5y + 10 = -4(0)
Simplify: 5y + 10 = 0
Solve: y = -2
Since y is negative, we'll ELIMINATE D

By the process of elimination, the correct answer is A

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

Like this post

GMAT/MBA Expert

Scott@TargetTestPrep: GMAT Instructor; Posts: 8154; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Wed May 01, 2019 4:14 pm

VJesus12 wrote:

Which of the following could be the equation of line m?

(A) 6y + 6x = 7
(B) 3y = -4x - 3
(C) 5y + 10 = -4x
(D) y = 2
(E) x = -2

[spoiler]OA=A[/spoiler]

Source: Magoosh

We see that line m has a negative slope and a positive y-intercept.

Since D and E are horizontal and vertical lines, respectively, we can immediately eliminate choices D and E.

Simplifying answer A, we have:

A)

y = (-6x + 7)/6

y = -x + 7/6

Since we have a positive y-intercept and a negative slope, answer choice A could be the equation of line m.

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review