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

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

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New post 15 Jul 2018, 08:30
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

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

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Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy  [#permalink]

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New post 15 Jul 2018, 08:44
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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.
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Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy  [#permalink]

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New post 28 Aug 2018, 05:40
whats the level of this question?
Does this kind of question come on real Gmat ?
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Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy  [#permalink]

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New post 28 Aug 2018, 06:05
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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




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Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy  [#permalink]

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New post 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.

Answer: A
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Re: Which of the following lines is perpendicular to 4x + 5y = 9 on the xy   [#permalink] 30 Aug 2018, 18:04
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