GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A line with the equation y - 2x + 3 = 0 for all real numbers would pas
[#permalink]
30 Mar 2021, 07:14
30 Mar 2021, 07:14
Expert Reply
1
Bookmarks
00:00
Question Stats:
86% (01:03) correct
13% (01:40) wrong based on 29 sessions
Hide Show timer Statistics
A line with the equation y - 2x + 3 = 0 for all real numbers would pass through which quadrants on the coordinate plane?
(A) I, II, and III only
(B) III and IV only
(C) I, II, III, and IV
(D) I, III, and IV only
(E) II and IV only
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) I, II, and III only
(B) III and IV only
(C) I, II, III, and IV
(D) I, III, and IV only
(E) II and IV only
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: A line with the equation y - 2x + 3 = 0 for all real numbers would pas
[#permalink]
30 Mar 2021, 07:29
30 Mar 2021, 07:29
Carcass wrote:
A line with the equation y - 2x + 3 = 0 for all real numbers would pass through which quadrants on the coordinate plane?
(A) I, II, and III only
(B) III and IV only
(C) I, II, III, and IV
(D) I, III, and IV only
(E) II and IV only
(A) I, II, and III only
(B) III and IV only
(C) I, II, III, and IV
(D) I, III, and IV only
(E) II and IV only
\(y - 2x + 3 = 0\)
\(y = 2x - 3\)
The given line has +ve slope (going up from Left to Right) and y-intercept of \(-3\) [passing through (0, -3)]
Therefore, it will only pass through I, III and IV quadrants.
Hence, option D
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A line with the equation y - 2x + 3 = 0 for all real numbers would pas
[#permalink]
30 Mar 2021, 07:30
30 Mar 2021, 07:30
Carcass wrote:
A line with the equation y - 2x + 3 = 0 for all real numbers would pass through which quadrants on the coordinate plane?
(A) I, II, and III only
(B) III and IV only
(C) I, II, III, and IV
(D) I, III, and IV only
(E) II and IV only
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) I, II, and III only
(B) III and IV only
(C) I, II, III, and IV
(D) I, III, and IV only
(E) II and IV only
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Let's start by rewriting the equation in slope y-intercept form (y = mx + b)
GIVEN: y - 2x + 3 = 0
Add 2x to both sides to get: y + 3 = 2x
Subtract 3 from both sides to get: y = 2x - 3
So, the line has slope 2 and y-intercept -3
We can sketch the line as follows:
The line passes through Quadrants I, III and IV
Answer: D
Cheers,
Brent
