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Which of the following equations represents the line l shown in the

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Which of the following equations represents the line l shown in the [#permalink]

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New post 31 Dec 2017, 22:04
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Which of the following equations represents the line l shown in the figure?

A) 2x - 4y = 8
B) 2x + 4y = 8
C) 4x + 2y = 8
D) 2x - 4y = -8
E) 4x - 2y = -8


[Reveal] Spoiler:
Attachment:
Graph.png
Graph.png [ 46.72 KiB | Viewed 716 times ]
[Reveal] Spoiler: OA

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Re: Which of the following equations represents the line l shown in the [#permalink]

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New post 31 Dec 2017, 23:18
Expert's post
saswata4s wrote:
Which of the following equations represents the line l shown in the figure?

A) 2x - 4y = 8
B) 2x + 4y = 8
C) 4x + 2y = 8
D) 2x - 4y = -8
E) 4x - 2y = -8



Hi...
By observation, we can see y is POSITIVE when x is 0 ....A out
Also X is POSITIVE when y is 0....D and E ARE out...
Substitute the values as 0 to get above statements

Now between B and C..
When y=0, x>3..
B. 2x+4y=8.....2x+4*0=8.....x=4... Possible
C.4x+2y=8.......4x+2*0=8....x=2....NO

Ans B
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Re: Which of the following equations represents the line l shown in the [#permalink]

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New post 01 Jan 2018, 00:50
Expert's post
saswata4s wrote:
Image
Which of the following equations represents the line l shown in the figure?

A) 2x - 4y = 8
B) 2x + 4y = 8
C) 4x + 2y = 8
D) 2x - 4y = -8
E) 4x - 2y = -8


[Reveal] Spoiler:
Attachment:
Graph.png


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Re: Which of the following equations represents the line l shown in the [#permalink]

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New post 01 Jan 2018, 21:12
Expert's post
saswata4s wrote:
Image
Which of the following equations represents the line l shown in the figure?

A) 2x - 4y = 8
B) 2x + 4y = 8
C) 4x + 2y = 8
D) 2x - 4y = -8
E) 4x - 2y = -8


[Reveal] Spoiler:
Attachment:
Graph.png


The line passes through (4, 0) and (0, 2). Its equation will be

y - 0 = (2 - 0)/(0 - 4) * (x - 4)
-2y = x - 4
x + 2y = 4
which is the same as 2x + 4y = 8

Answer (B)
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Re: Which of the following equations represents the line l shown in the [#permalink]

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New post 01 Jan 2018, 21:34
From the diagram, we can see the y intercept > 1 (+ve) & x intercept >3 (+ve)

convert the equation in the options in intercept form i.e.
x/a + y/b = 1, where a is the x intercept & b is the y intercept

As is eveident from problem stmt, a,b are positive hence only 2 options remain

I need to find an option which has a > 3 & b >1

=> x/4 + y/2 =1
Re: Which of the following equations represents the line l shown in the   [#permalink] 01 Jan 2018, 21:34
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