GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 19 Oct 2019, 20:16

### GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Which of the following lines is perpendicular to 4x + 5y = 9 on the xy

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58445
Which of the following lines is perpendicular to 4x + 5y = 9 on the xy  [#permalink]

### Show Tags

15 Jul 2018, 08:30
1
2
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:42) correct 26% (01:17) wrong based on 138 sessions

### HideShow timer Statistics

Which of the following lines is perpendicular to 4x + 5y = 9 on the xy plane?

A. $$y = \frac{5}{4}x + 2$$

B. $$y = \frac{-5}{4}x + 9$$

C. $$y = -4x + \frac{9}{5}$$

D. $$y = \frac{4}{5}x + \frac{-4}{5}$$

E. $$y = \frac{-4}{5}x$$

_________________
Retired Moderator
Joined: 30 Jan 2015
Posts: 794
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy  [#permalink]

### Show Tags

15 Jul 2018, 08:44
1
1
4x + 5y = 9
y = -4/5*x + 9/5
Slope of the line = -4/5

So, line perpendicular to the given line should have a slope of 5/4.

A. $$y = \frac{5}{4}x + 2$$

Hence, A.
_________________
The few, the fearless !

Thanks
Manager
Joined: 29 Jan 2018
Posts: 52
Concentration: Marketing, Strategy
Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy  [#permalink]

### Show Tags

28 Aug 2018, 05:40
whats the level of this question?
Does this kind of question come on real Gmat ?
Math Expert
Joined: 02 Sep 2009
Posts: 58445
Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy  [#permalink]

### Show Tags

28 Aug 2018, 06:05
1
1
Ratnaa19 wrote:
whats the level of this question?
Does this kind of question come on real Gmat ?

According to the 61 sessions (timer attempts) from our users, the difficulty is sub-600. You can check the difficulty of a question in the tags just above the first post.

To answer your other question, yes it's a perfectly valid GMAT question which falls into Coordinate Geometry category.

24. Coordinate Geometry

For other subjects:
ALL YOU NEED FOR QUANT ! ! !
_________________
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy  [#permalink]

### Show Tags

30 Aug 2018, 18:04
Bunuel wrote:
Which of the following lines is perpendicular to 4x + 5y = 9 on the xy plane?

A. $$y = \frac{5}{4}x + 2$$

B. $$y = \frac{-5}{4}x + 9$$

C. $$y = -4x + \frac{9}{5}$$

D. $$y = \frac{4}{5}x + \frac{-4}{5}$$

E. $$y = \frac{-4}{5}x$$

We need to first express the given line in slope-intercept form, which is y = mx + b, where m is the slope of the line:

5y = -4x + 9

y = (-4/5)x + 9/5

We see that the slope of the given line is -4/5. Since the slopes of two perpendicular lines are negative reciprocals of each other, then a line perpendicular to the given line will have a slope of 5/4. The line whose equation is given in choice A has that slope.

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy   [#permalink] 30 Aug 2018, 18:04
Display posts from previous: Sort by