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

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Director
Joined: 28 Jul 2016
Posts: 679
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
WE: Project Management (Investment Banking)
Line l is perpendicular to the line with the equation [m]y=[fraction]-  [#permalink]

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Updated on: 24 Mar 2019, 10:56
2
00:00

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. $$y=5x-25$$

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
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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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
Joined: 28 Jul 2016
Posts: 679
Location: India
Concentration: Finance, Human Resources
GPA: 3.97
WE: Project Management (Investment Banking)
Re: Line l is perpendicular to the line with the equation [m]y=[fraction]-  [#permalink]

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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,
Corrected the signs of the point that lies on line l
Manager
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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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,
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.
Re: Line l is perpendicular to the line with the equation [m]y=[fraction]-   [#permalink] 24 Mar 2019, 11:00
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