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.
The slope of the line 2x + y = 3 is NOT the same as the slo
[#permalink]
24 Mar 2019, 10:14
24 Mar 2019, 10:14
Expert Reply
00:00
Question Stats:
71% (00:51) correct
28% (00:51) wrong based on 63 sessions
Hide Show timer Statistics
The slope of the line \(2x + y = 3\) is NOT the same as the slope of which one of the following lines?
(A) \(2x + y = 5\)
(B) \(x + \frac{y}{2} = 3\)
(C) \(x = –\frac{y}{2} – 3\)
(D)\(y = 7 – 2x\)
(E) \(x + 2y = 9\)
(A) \(2x + y = 5\)
(B) \(x + \frac{y}{2} = 3\)
(C) \(x = –\frac{y}{2} – 3\)
(D)\(y = 7 – 2x\)
(E) \(x + 2y = 9\)
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The slope of the line 2x + y = 3 is NOT the same as the slo
[#permalink]
25 Mar 2019, 07:02
25 Mar 2019, 07:02
2
Carcass wrote:
The slope of the line \(2x + y = 3\) is NOT the same as the slope of which one of the following lines?
(A) \(2x + y = 5\)
(B) \(x + \frac{y}{2} = 3\)
(C) \(x = –\frac{y}{2} – 3\)
(D)\(y = 7 – 2x\)
(E) \(x + 2y = 9\)
(A) \(2x + y = 5\)
(B) \(x + \frac{y}{2} = 3\)
(C) \(x = –\frac{y}{2} – 3\)
(D)\(y = 7 – 2x\)
(E) \(x + 2y = 9\)
First, rewrite 2x + y = 3 in slope y-intercept form (y = mx + b)
Take: 2x + y = 3
Rewrite as: y = -2x + 3
We can now see the line has a slope of -2 and a y-intercept of 3
Now rewrite each answer choice in slope y-intercept form
NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top.
(E) x + 2y = 9
Subtract x from both sides to get: 2y = -x + 9
Divide both sides by 2 to get: y = -1/2x + 9/2
We can now see the line has a slope of -1/2 and a y-intercept of 9/2
Since the slope of the original line is -2, the correct answer is E
Cheers,
Brent
gmatclubot
Re: The slope of the line 2x + y = 3 is NOT the same as the slo [#permalink]
25 Mar 2019, 07:02
Moderators:
