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# In the coordinate system above, which of the following is

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Manager
Joined: 02 Dec 2012
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Kudos [?]: 32 [1] , given: 0

In the coordinate system above, which of the following is [#permalink]  27 Dec 2012, 06:38
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Question Stats:

73% (02:05) correct 26% (00:48) wrong based on 166 sessions
Attachment:

Line L.png [ 6.88 KiB | Viewed 2641 times ]
In the coordinate system above, which of the following is the equation of line l ?

(A) 2x - 3y = 6
(B) 2x + 3y = 6
(C) 3x + 2y = 6
(D) 2x - 3y = -6
(E) 3x - 2y = -6
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 17321
Followers: 2875

Kudos [?]: 18401 [1] , given: 2350

Re: In the coordinate system above, which of the following is [#permalink]  27 Dec 2012, 06:45
1
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Expert's post

In the coordinate system above, which of the following is the equation of line l ?

(A) 2x - 3y = 6
(B) 2x + 3y = 6
(C) 3x + 2y = 6
(D) 2x - 3y = -6
(E) 3x - 2y = -6

Notice that line l passes through points (3,0) and (0,2), so its slope is m=\frac{y_2-y_1}{x_2-x_1}=-\frac{2}{3} (given two points (x_1,y_1) and (x_2,y_2) on a line, the slope m of the line is m=\frac{y_2-y_1}{x_2-x_1}).

Only option B, when written in y=mx+b form has the slope of -2/3.

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Kudos [?]: 488 [1] , given: 135

Re: In the coordinate system above, which of the following is [#permalink]  15 Apr 2013, 06:30
1
KUDOS
Expert's post
Attachment:
Line L.png
In the coordinate system above, which of the following is the equation of line l ?

(A) 2x - 3y = 6
(B) 2x + 3y = 6
(C) 3x + 2y = 6
(D) 2x - 3y = -6
(E) 3x - 2y = -6

From the given figure, we can see that the line has positive intercept on both the x and y axis. Thus we can eliminate all the options except B and C. Now the intercept on the x-axis is more than 2. For option C, the x-intercept comes as 2, thus the answer has to be B.
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Schools: ISB '15
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Kudos [?]: 17 [0], given: 33

Re: In the coordinate system above, which of the following is [#permalink]  12 Apr 2013, 23:21
Bunuel wrote:

In the coordinate system above, which of the following is the equation of line l ?

(A) 2x - 3y = 6
(B) 2x + 3y = 6
(C) 3x + 2y = 6
(D) 2x - 3y = -6
(E) 3x - 2y = -6

Notice that line l passes through points (3,0) and (0,2), so its slope is m=\frac{y_2-y_1}{x_2-x_1}=-\frac{2}{3} (given two points (x_1,y_1) and (x_2,y_2) on a line, the slope m of the line is m=\frac{y_2-y_1}{x_2-x_1}).

Only option B, when written in y=mx+b form has the slope of -2/3.

Hi Bunnel...A small query
Can we assume (As u have done in your solution) that the line passes through points (3,0) and (0,2). I mean can we safely interpret graphs on the GMAT??Since it is not explicitly stated that the line passes through those two specific points.
My approach to the above problem was as follows.
What we know from the graph is this
x and y co-ordinates of line l are both positive, x co-ordinate is > 2 and y co-ordinate is > 1
A, D and E are clearly out since x and y co-ordinates will have opposite signs
putting y=0 in choice C x=2 - Incorrect (as x co-ordinate > 2)
Only B left
Cheers
Math Expert
Joined: 02 Sep 2009
Posts: 17321
Followers: 2875

Kudos [?]: 18401 [0], given: 2350

Re: In the coordinate system above, which of the following is [#permalink]  13 Apr 2013, 02:56
Expert's post
Dipankar6435 wrote:
Bunuel wrote:

In the coordinate system above, which of the following is the equation of line l ?

(A) 2x - 3y = 6
(B) 2x + 3y = 6
(C) 3x + 2y = 6
(D) 2x - 3y = -6
(E) 3x - 2y = -6

Notice that line l passes through points (3,0) and (0,2), so its slope is m=\frac{y_2-y_1}{x_2-x_1}=-\frac{2}{3} (given two points (x_1,y_1) and (x_2,y_2) on a line, the slope m of the line is m=\frac{y_2-y_1}{x_2-x_1}).

Only option B, when written in y=mx+b form has the slope of -2/3.

Hi Bunnel...A small query
Can we assume (As u have done in your solution) that the line passes through points (3,0) and (0,2). I mean can we safely interpret graphs on the GMAT??Since it is not explicitly stated that the line passes through those two specific points.
My approach to the above problem was as follows.
What we know from the graph is this
x and y co-ordinates of line l are both positive, x co-ordinate is > 2 and y co-ordinate is > 1
A, D and E are clearly out since x and y co-ordinates will have opposite signs
putting y=0 in choice C x=2 - Incorrect (as x co-ordinate > 2)
Only B left
Cheers

OG13 solution makes the same exact assumption "The line is shown going through the points (0,2) and (3,0)..."
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Intern
Joined: 03 Nov 2013
Posts: 2
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Kudos [?]: 0 [0], given: 5

Re: In the coordinate system above, which of the following is [#permalink]  07 Nov 2013, 22:41
Just a different way of approaching the problem...
since we know the y-intercept is -c/b when the equation is given in the form ax+by +c =0.. simply use what's on the right side of the equation (it'll turn negative when moved to the left) and divide by b.
Intern
Joined: 10 Nov 2013
Posts: 11
Location: United States
Concentration: Healthcare, Strategy
WE: Information Technology (Health Care)
Followers: 1

Kudos [?]: 5 [0], given: 25

Re: In the coordinate system above, which of the following is [#permalink]  01 Dec 2013, 10:59
Bunuel wrote:
Dipankar6435 wrote:
Bunuel wrote:

In the coordinate system above, which of the following is the equation of line l ?

(A) 2x - 3y = 6
(B) 2x + 3y = 6
(C) 3x + 2y = 6
(D) 2x - 3y = -6
(E) 3x - 2y = -6

Notice that line l passes through points (3,0) and (0,2), so its slope is m=\frac{y_2-y_1}{x_2-x_1}=-\frac{2}{3} (given two points (x_1,y_1) and (x_2,y_2) on a line, the slope m of the line is m=\frac{y_2-y_1}{x_2-x_1}).

Only option B, when written in y=mx+b form has the slope of -2/3.

Hi Bunnel...A small query
Can we assume (As u have done in your solution) that the line passes through points (3,0) and (0,2). I mean can we safely interpret graphs on the GMAT??Since it is not explicitly stated that the line passes through those two specific points.
My approach to the above problem was as follows.
What we know from the graph is this
x and y co-ordinates of line l are both positive, x co-ordinate is > 2 and y co-ordinate is > 1
A, D and E are clearly out since x and y co-ordinates will have opposite signs
putting y=0 in choice C x=2 - Incorrect (as x co-ordinate > 2)
Only B left
Cheers

OG13 solution makes the same exact assumption "The line is shown going through the points (0,2) and (3,0)..."

I agree with Dipankar6435 approach. I used the similar approach since it is not explicitly mentioned that the line passes through and also there is no line markers at the points where the line touches both x and y axis. Since there is a line marker on the x axis that clearly indicates that the x value should be greater than 2, out of the 2 answer choices, I picked B as the right one. Thanks.
Re: In the coordinate system above, which of the following is   [#permalink] 01 Dec 2013, 10:59
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