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.
Sep 28Live Online Class with Top GRE Expert Mike Butville
08:00 PM EDT
-10:00 PM EDT
Top scores are possible when you enroll in a powerful GRE course, taught live online + 6 months access to TTP GRE OnDemand video courses included! Class starts Mon/Wed Sept. 28, 2026 - Dec. 9, 2026, 8:00pm-10:00pm EST
Line l has the equation 2x + 3y – 2 = 0.
[#permalink]
Updated on: 17 Jan 2019, 05:15
Updated on: 17 Jan 2019, 05:15
1
1
Bookmarks
00:00
Question Stats:
87% (00:46) correct
12% (00:23) wrong based on 32 sessions
Hide Show timer Statistics
Line L has the equation \(2x + 3y – 2 = 0.\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The slope of a line perpendicular to line L |
\(\frac{9}{7}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Originally posted by CAMANISHPARMAR on 17 Jan 2019, 04:12.
Last edited by Carcass on 17 Jan 2019, 05:15, edited 1 time in total.
Last edited by Carcass on 17 Jan 2019, 05:15, edited 1 time in total.
Edited by Carcass
Re: Line l has the equation 2x + 3y – 2 = 0.
[#permalink]
17 Jan 2019, 05:23
17 Jan 2019, 05:23
1
CAMANISHPARMAR wrote:
Line L has the equation \(2x + 3y – 2 = 0.\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The slope of a line perpendicular to line L |
\(\frac{9}{7}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Explanation::
The equation can be written as :
\(2x + 3y – 2 = 0.\)
or \(y = -(\frac{2}{3})x + 2\)
Here slope = \(-\frac{3}{2}\)
The slope to be perpendicular it should be negative reciprocal of the slop of line L
i.e = \(\frac{3}{2}\) = 1.5
QTYB = \(\frac{9}{7}\) = 1.2
Therefore QTY A < QTY B
Option A
Re: Line l has the equation 2x + 3y – 2 = 0.
[#permalink]
17 Jan 2019, 06:36
17 Jan 2019, 06:36
Expert Reply
CAMANISHPARMAR wrote:
Line L has the equation \(2x + 3y – 2 = 0.\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The slope of a line perpendicular to line L |
\(\frac{9}{7}\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
The equation given is linear and the quantity A talks of the slope, so let us convert that equation in slope form
The slope form of a line is \(y=mx+c\), so let us convert \(2x + 3y – 2 = 0\) in the slope form.
\(=>3y=2-2x........y=-\frac{2}{3}x+\frac{2}{3}\), thus slope = \(m = -\frac{2}{3}\)
If m is a slope of a line, the slope of a perpendicular line is \(\frac{-1}{m}\), therefore, A= -1/\(-\frac{2}{3}=\frac{3}{2}\)..
\(\frac{3}{2}\) is equal to \(\frac{3*3}{2*3}=\frac{9}{6}\), and \(\frac{9}{6}>\frac{9}{7}\)..
Thus A>B
A
