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# If the figure above is drawn to scale, which of the following could be

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
If the figure above is drawn to scale, which of the following could be  [#permalink]

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09 Oct 2018, 00:53
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35% (medium)

Question Stats:

60% (01:07) correct 40% (00:55) wrong based on 44 sessions

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If the figure above is drawn to scale, which of the following could be the equation of line l?

(A) $$y = 4x + 4$$

(B) $$y = 4x - 4$$

(C) $$y = x - 6$$

(D) $$y = x + \frac{1}{2}$$

(E) $$y = -x - 3$$

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Capture.JPG [ 13.57 KiB | Viewed 487 times ]

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Re: If the figure above is drawn to scale, which of the following could be  [#permalink]

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09 Oct 2018, 01:12
Ans is option A y=4x +4

Substitute x as 0 once and check where y must be positive

Than substitute y as 0 ans check where x must be zero

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Re: If the figure above is drawn to scale, which of the following could be  [#permalink]

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09 Oct 2018, 01:20
ans should be c as the y intercept is negative.
Also since it is drawn to scale, and the y and x intercept value seems to be the same
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Re: If the figure above is drawn to scale, which of the following could be  [#permalink]

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09 Oct 2018, 01:29
Ans y= 4x+4
Bcz y is in positive side and which is greater than 4.

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Re: If the figure above is drawn to scale, which of the following could be  [#permalink]

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09 Oct 2018, 01:59
Bunuel wrote:

If the figure above is drawn to scale, which of the following could be the equation of line l?

(A) $$y = 4x + 4$$
(B) $$y = 4x - 4$$
(C) $$y = x - 6$$
(D) $$y = x + \frac{1}{2}$$
(E) $$y = -x - 3$$
Attachment:
Capture.JPG

My logic is :
Since the line is upward sloping.. the slope will be positive, E is out

Also the line cuts the Y axis on the negative side , therefore c <0
Eqn from is y = mx + c

so now just B and C remain.. I took a guess then marked C

chetan2u anything that i am missing here?
Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: If the figure above is drawn to scale, which of the following could be  [#permalink]

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09 Oct 2018, 02:12
1
saurabh9gupta wrote:
Bunuel wrote:

If the figure above is drawn to scale, which of the following could be the equation of line l?

(A) $$y = 4x + 4$$
(B) $$y = 4x - 4$$
(C) $$y = x - 6$$
(D) $$y = x + \frac{1}{2}$$
(E) $$y = -x - 3$$
Attachment:
Capture.JPG

My logic is :
Since the line is upward sloping.. the slope will be positive, E is out

Also the line cuts the Y axis on the negative side , therefore c <0
Eqn from is y = mx + c

so now just B and C remain.. I took a guess then marked C

chetan2u anything that i am missing here?

Yes, you are absolutely correct with your approach but you don't have to guess when you get down to B and C..

B is 4x-4=y..
So when y=0, 4x-4=0.....X=1
When x=0, y=4
So y intercept should be at a distance of 4 times more than x-intercept, but figure is drawn to scale and it shows almost same..

C is y=x-6.
So when y=0, X=6
When x=0, y=-6
So y intercept should be at same distance from origin as x-intercept, and figure is drawn to scale and it also shows almost same..
So C
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
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Re: If the figure above is drawn to scale, which of the following could be   [#permalink] 09 Oct 2018, 02:12
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