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Math Expert V
Joined: 02 Sep 2009
Posts: 58453
Which of the following is NOT a point on line l?  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 66% (01:43) correct 34% (02:05) wrong based on 85 sessions

HideShow timer Statistics Which of the following is NOT a point on line l?

A. (44 , 27)
B. (12 , 3)
C. (9 , 0.75)
D. (4, –3)
E. (2, 6)

Attachment: image014.jpg [ 3.04 KiB | Viewed 1074 times ]

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Senior Manager  S
Joined: 07 Oct 2017
Posts: 253
Re: Which of the following is NOT a point on line l?  [#permalink]

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Bunuel wrote: Which of the following is NOT a point on line l?

A. (44 , 27)
B. (12 , 3)
C. (9 , 0.75)
D. (4, –3)
E. (2, 6)

Attachment: 1535543725423.jpg [ 78.83 KiB | Viewed 937 times ]
Imho answer is E
Attachment: 1535543725423.jpg [ 78.83 KiB | Viewed 937 times ]

Thank you = Kudos
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VP  D
Status: Learning stage
Joined: 01 Oct 2017
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WE: Supply Chain Management (Energy and Utilities)
Which of the following is NOT a point on line l?  [#permalink]

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Bunuel wrote: Which of the following is NOT a point on line l?

A. (44 , 27)
B. (12 , 3)
C. (9 , 0.75)
D. (4, –3)
E. (2, 6)

Attachment:
image014.jpg

When Slope line passing through unknown point(x,y) and (0,-6) or (8,0) is equal to Slope of line passing through points (0,-6) and (8,0) then that point lies on the given line.

Slope of line passing through points (0,-6) and (8,0)=$$\frac{0-(-6)}{8-0}$$=$$\frac{3}{4}$$

Let's check slope of line (0,-6) and (x,y) from answer options.

E. Slope=12/2=6 KEEP

Ans. (E)

Hi sumit411,
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Regards,

PKN

Rise above the storm, you will find the sunshine

Originally posted by PKN on 29 Aug 2018, 04:56.
Last edited by PKN on 29 Aug 2018, 05:51, edited 3 times in total.
Senior Manager  S
Joined: 07 Oct 2017
Posts: 253
Re: Which of the following is NOT a point on line l?  [#permalink]

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Hi PKN,

Can you please check option D and E again and let me know where I went wrong.

Regards,
Sumit

Thank you = Kudos
_________________
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The best thing in life lies on the other side of the pain.
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Joined: 14 Jun 2018
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Re: Which of the following is NOT a point on line l?  [#permalink]

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2
If you observe the line , you can see if x is between 0 and 8 , y cannot be positive.
Option E
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Joined: 25 Jan 2013
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Re: Which of the following is NOT a point on line l?  [#permalink]

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Bunuel wrote: Which of the following is NOT a point on line l?

A. (44 , 27)
B. (12 , 3)
C. (9 , 0.75)
D. (4, –3)
E. (2, 6)

Attachment:
image014.jpg

From the line l, when x becomes less than 8, Y should be negative even if X becomes negative. when x becomes more than 8, Y should be positive. option E does not obey this. (2,6) is NOT a point on line l
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VP  D
Joined: 09 Mar 2016
Posts: 1230
Which of the following is NOT a point on line l?  [#permalink]

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PKN wrote:
Bunuel wrote: Which of the following is NOT a point on line l?

A. (44 , 27)
B. (12 , 3)
C. (9 , 0.75)
D. (4, –3)
E. (2, 6)

Attachment:
image014.jpg

When Slope line passing through unknown point(x,y) and (0,-6) or (8,0) is equal to Slope of line passing through points (0,-6) and (8,0) then that point lies on the given line.

Slope of line passing through points (0,-6) and (8,0)=$$\frac{0-(-6)}{8-0}$$=$$\frac{3}{4}$$

Let's check slope of line (0,-6) and (x,y) from answer options.

E. Slope=12/2=6 KEEP

Ans. (E)

Hi sumit411,

Hey PKN

okay, i know slope is $$\frac{3}{4}$$

but what calculations did you perform to eliminate incorrect answer choices and leave a correct one ?

A. slope=33/44=3/4 DISCARD (how about here ? )
B. Slope=9/8=3/4 DISCARD (here I get, you reduce fraction )
C.Slope=6.75/9=3/4 DISCARD (And here ?)
E. Slope=12/2=6 KEEP (and here )

thank you
VP  D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1013
WE: Supply Chain Management (Energy and Utilities)
Re: Which of the following is NOT a point on line l?  [#permalink]

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1
dave13 wrote:
PKN wrote:
Bunuel wrote: Which of the following is NOT a point on line l?

A. (44 , 27)
B. (12 , 3)
C. (9 , 0.75)
D. (4, –3)
E. (2, 6)

Attachment:
image014.jpg

When Slope line passing through unknown point(x,y) and (0,-6) or (8,0) is equal to Slope of line passing through points (0,-6) and (8,0) then that point lies on the given line.

Slope of line passing through points (0,-6) and (8,0)=$$\frac{0-(-6)}{8-0}$$=$$\frac{3}{4}$$

Let's check slope of line (0,-6) and (x,y) from answer options.

E. Slope=12/2=6 KEEP

Ans. (E)

Hi sumit411,

Hey PKN

okay, i know slope is $$\frac{3}{4}$$

but what calculations did you perform to eliminate incorrect answer choices and leave a correct one ?

A. slope=33/44=3/4 DISCARD (how about here ? )
B. Slope=9/8=3/4 DISCARD (here I get, you reduce fraction )
C.Slope=6.75/9=3/4 DISCARD (And here ?)
E. Slope=12/2=6 KEEP (and here )

thank you

Hi dave13,
When Slope line passing through unknown point(x,y) and (0,-6) or (8,0) is equal to Slope of line passing through points (0,-6) and (8,0) then that point lies on the given line. This unknown point(x,y) is given in answer options.
A. slope of line passing through (0,-6) and (44,27)=$$\frac{27-(-6)}{44-0}$$=3/4 DISCARD
B. slope of line passing through (0,-6) and (12,3)=$$\frac{3-(-6)}{12-0}$$=9/12=3/4 DISCARD
C.slope of line passing through (0,-6) and (9,0.75)=$$\frac{0.75-(-6)}{9-0}$$=6.75/9=3/4 DISCARD
D. slope of line passing through (0,-6) and (4,-3)=$$\frac{-3-(-6)}{4-0}$$=3/4 DISCARD
E. slope of line passing through (0,-6) and (2,6)=$$\frac{6-(-6)}{2-0}$$=12/2=6 KEEP

Since A,B,C, and D match the slope 3/4 , Hence these options are to be discarded as per question stem.

Ans. (E)

P.S:- You will get the same result if (x,y)=(8,0).
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine Re: Which of the following is NOT a point on line l?   [#permalink] 02 Sep 2018, 19:44
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