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Ratnaa19
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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Bunuel
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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