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Another co-geo problem!

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by neelgandham » Tue Nov 01, 2011 6:32 am
For x=0, we know that y>0
For y=0, we know that x>0

1) 2x-3y=6; x=0 => y=-2 Not the answer
2) 2x+3y=6; x=0 => y=2 May be. y=0 => x=3 May be.
3) 3x+2y=6; x=0 => y=3 May be. y=0 => x=2 May be. But in the diagram, x>2..Not the answer
4) 2x-3y=-6; x=0 => y=2 May be. y=0 => x=-3..Not the answer
5) 3x-2y=-6; x=0 => y=3 May be. y=0 => x=-2..Not the answer

Option B
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by rijul007 » Tue Nov 01, 2011 6:37 am
line l is supposed to have a negative slope.

for a line
ax + by = c

slope = -b/a

in this case...
option A,D and E are eliminated becouse there slope is positive.




now in the figue
x- intercept is longer than the y- intercept


which can be represented by the eq in option B
Last edited by rijul007 on Tue Nov 01, 2011 6:49 am, edited 1 time in total.
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by GMATGuruNY » Tue Nov 01, 2011 6:42 am
Image

Another approach:

Traveling from the y intercept to the x intercept:
Rise = -2.
Run = 3.
Thus, slope = -2/3.

Since the y intercept = 2, we get the following:
y = (-2/3)x + 2
3y = -2x + 6
2x + 3y = 6.

The correct answer is B.
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by shankar.ashwin » Tue Nov 01, 2011 6:56 am
I had posted this for a different problem, but it would help in this case as well. Looking at the line you could frame the equation.
Read the last part

https://www.beatthegmat.com/x-intercept- ... tml#417295
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by user123321 » Tue Nov 01, 2011 11:16 am
if you know intercepts then line equation is x/a + x/b = 1

so x/3+y/2 = 1 => 2x+3y = 6

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by LalaB » Tue Nov 01, 2011 1:02 pm
from the pic we can see ,that our line has a negative slope.
so, A ;D; E are out. now we have only 2 choices- either B, or C.

return to the pic. we see that (3;0) is a point of this line. applying this to our two equations we can assume, that B is our answ
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by vaibhavgupta » Wed Nov 02, 2011 1:55 pm
GmatKiss wrote:Please help to solve!

find slope.. and then take one of the points in the eq. y=mx+b where m=slope and b=y intercept

B it is! :)
If OA is A, IMO B
If OA is B, IMO C
If OA is C, IMO D
If OA is D, IMO E
If OA is E, IMO A

FML!! :/
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by vaibhavgupta » Wed Nov 02, 2011 1:56 pm
GmatKiss wrote:Please help to solve!

find slope.. and then take one of the points in the eq. y=mx+b where m=slope and b=y intercept

B it is! :)
If OA is A, IMO B
If OA is B, IMO C
If OA is C, IMO D
If OA is D, IMO E
If OA is E, IMO A

FML!! :/
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