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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Another co-geo problem!
Source: Beat The GMAT — Problem Solving |
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neelgandham
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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
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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GMATGuruNY
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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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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
Read the last part
https://www.beatthegmat.com/x-intercept- ... tml#417295
if you know intercepts then line equation is x/a + x/b = 1
so x/3+y/2 = 1 => 2x+3y = 6
user123321
so x/3+y/2 = 1 => 2x+3y = 6
user123321
Just started my preparation 
Want to do it right the first time.
Want to do it right the first time.
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
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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vaibhavgupta
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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!! :/
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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vaibhavgupta
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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!! :/
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!! :/
