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Line l is perpendicular to the line with the equation [m]y=[fraction]-

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Joined: 28 Jul 2016
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Schools: LBS '19, ISB '18 (D), IE Sept19 Intake, IIM-A"19
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Line l is perpendicular to the line with the equation [m]y=[fraction]-  [#permalink]

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New post Updated on: 24 Mar 2019, 10:56
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E

Difficulty:

  35% (medium)

Question Stats:

63% (01:09) correct 37% (01:41) wrong based on 30 sessions

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Line l is perpendicular to the line with the equation \(y=\frac{-1}{5}x\) and the point(3,-10) is on line l . Which of the following is an equation of line l?
A. \(y=-\frac{1}{5}x-\frac{47}{5}\)
B. \(y=-\frac{1}{5}x-\frac{53}{5}\)
C. \(y=5x\)
D. \(y=5x-5\)
E. \(y=5x-25\)
Spoiler: OA

Originally posted by globaldesi on 24 Mar 2019, 07:11.
Last edited by globaldesi on 24 Mar 2019, 10:56, edited 2 times in total.
Manager
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Joined: 12 Apr 2011
Posts: 149
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GMAT 2: 720 Q50 V37
WE: Marketing (Telecommunications)
Re: Line l is perpendicular to the line with the equation [m]y=[fraction]-  [#permalink]

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New post 24 Mar 2019, 10:49
globaldesi wrote:
Line l is perpendicular to the line with the equation \(y=\frac{-1}{5}x\) and the point(-3,10) l is on line . Which of the following is an equation of line l?
A. \(y=-\frac{1}{5}x-\frac{47}{5}\)
B. \(y=-\frac{1}{5}x-\frac{53}{5}\)
C. \(y=5x\)
D. \(y=5x-5\)
E. \(y=5x-25\)



So none of the options satisfy the point (-3,10)

A. y = 3/5-47/5 = -44/5 != 10
B. y = 3/5-53/5 = -10 != 10
C. y = -15 != 10
D. y = -15-5 = -20 != 10
E. y = -15-25 = -40 != 10

globaldesi to suggest if we are missing anything.
Director
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V
Joined: 28 Jul 2016
Posts: 679
Location: India
Concentration: Finance, Human Resources
Schools: LBS '19, ISB '18 (D), IE Sept19 Intake, IIM-A"19
GPA: 3.97
WE: Project Management (Investment Banking)
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Re: Line l is perpendicular to the line with the equation [m]y=[fraction]-  [#permalink]

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New post 24 Mar 2019, 10:57
eabhgoy wrote:
globaldesi wrote:
Line l is perpendicular to the line with the equation \(y=\frac{-1}{5}x\) and the point(-3,10) l is on line . Which of the following is an equation of line l?
A. \(y=-\frac{1}{5}x-\frac{47}{5}\)
B. \(y=-\frac{1}{5}x-\frac{53}{5}\)
C. \(y=5x\)
D. \(y=5x-5\)
E. \(y=5x-25\)



So none of the options satisfy the point (-3,10)

A. y = 3/5-47/5 = -44/5 != 10
B. y = 3/5-53/5 = -10 != 10
C. y = -15 != 10
D. y = -15-5 = -20 != 10
E. y = -15-25 = -40 != 10

globaldesi to suggest if we are missing anything.


Apologies,
I added teh signs wrong.
Corrected the signs of the point that lies on line l
Manager
Manager
avatar
G
Joined: 12 Apr 2011
Posts: 149
Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
GMAT 2: 720 Q50 V37
WE: Marketing (Telecommunications)
Re: Line l is perpendicular to the line with the equation [m]y=[fraction]-  [#permalink]

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New post 24 Mar 2019, 11:00
globaldesi wrote:
eabhgoy wrote:
globaldesi wrote:
Line l is perpendicular to the line with the equation \(y=\frac{-1}{5}x\) and the point(-3,10) l is on line . Which of the following is an equation of line l?
A. \(y=-\frac{1}{5}x-\frac{47}{5}\)
B. \(y=-\frac{1}{5}x-\frac{53}{5}\)
C. \(y=5x\)
D. \(y=5x-5\)
E. \(y=5x-25\)



So none of the options satisfy the point (-3,10)

A. y = 3/5-47/5 = -44/5 != 10
B. y = 3/5-53/5 = -10 != 10
C. y = -15 != 10
D. y = -15-5 = -20 != 10
E. y = -15-25 = -40 != 10

globaldesi to suggest if we are missing anything.


Apologies,
I added teh signs wrong.
Corrected the signs of the point that lies on line l


aah ohk, then E seems to be the correct answer.

Another rule to keep in mind is that if two lines are perpendicular then m1m2=-1.
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Re: Line l is perpendicular to the line with the equation [m]y=[fraction]-   [#permalink] 24 Mar 2019, 11:00
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