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Is 2y + 3x − 5 = 0 the equation of line q?

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Bunuel
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Is 2y + 3x − 5 = 0 the equation of line q? [#permalink] New post   02 May 2021, 08:45
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Is 2y + 3x − 5 = 0 the equation of line q?

(1) The x-intercept of line q is (5,0).

(2) The slope of line q is 2/3.
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D
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abuc0112
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Re: Is 2y + 3x − 5 = 0 the equation of line q? [#permalink] New post   02 May 2021, 08:56
Stamens 1 》sufficient. The y intercept of line Q is -5 and Y intercept of this line is 5/2

Statement 2》sufficient. This gives us the slope of line Q, which is 2/3. And the slope of this line is -3/2.
Answer = D

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Is 2y + 3x − 5 = 0 the equation of line q? [#permalink] New post   Updated on: 02 May 2021, 09:11
Bunuel wrote:
Is 2y + 3x − 5 = 0 the equation of line q?

(1) The x-intercept of line q is (5,0).

(2) The slope of line q is 2/3.


IMO the answer is option B
lets simply the above equation in y=mx+c form , that is
y=-3x/2 + 5/2

State 1 : x intercept is (5,0) ..No information about the slope and y intercept .. insufficient
State 2 : slope is 2/3. So, the equation says the slope should be -3/2 which is not the case. Therefore, B is sufficient to answer NO it is not the equation of the line. Sufficient

Originally posted by ManyataM on 02 May 2021, 09:02.
Last edited by ManyataM on 02 May 2021, 09:11, edited 1 time in total.
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Is 2y + 3x − 5 = 0 the equation of line q? [#permalink] New post   Updated on: 09 May 2021, 09:45
Asked: Is 2y + 3x − 5 = 0 the equation of line q?

(1) The x-intercept of line q is (5,0).
x-intercept of line 2y + 3x - 5 = 0
3x - 5 = 0
\(x = 5/3 \neq 5\)
2y + 3x − 5 = 0 is NOT the equation of line q
SUFFICIENT

(2) The slope of line q is 2/3.
Slope of equation of line 2y + 3x − 5 = 0 is -3/2
The equation of line q is NOT 2y + 3x − 5 = 0
SUFFICIENT

IMO D

Originally posted by Kinshook on 02 May 2021, 09:08.
Last edited by Kinshook on 09 May 2021, 09:45, edited 1 time in total.
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Re: Is 2y + 3x − 5 = 0 the equation of line q? [#permalink] New post   02 May 2021, 09:10
You are correct, ManyataM. I see where I made my mistake. We are trying to prove the equation of line q, instead I put the X intercept into the original equation. Silly me.

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Re: Is 2y + 3x − 5 = 0 the equation of line q? [#permalink] New post   02 May 2021, 09:12
abuc0112 wrote:
You are correct, ManyataM. I see where I made my mistake. We are trying to prove the equation of line q, instead I put the X intercept into the original equation. Silly me.

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I know .. It happens in haste
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Re: Is 2y + 3x − 5 = 0 the equation of line q? [#permalink] New post   02 May 2021, 14:27
Is 2y + 3x − 5 = 0 the equation of line q?

Stat1: The x-intercept of line q is (5,0).
If given equation has x intercept; 3x -5 =0 or, x = 5/3. So, given equation is not st. line q. Sufficient.

Stat2: The slope of line q is 2/3.
Given equation slope = -3/2, which is not the slope of st. line. Sufficient.

So, I think D. :)
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Re: Is 2y + 3x − 5 = 0 the equation of line q? [#permalink] New post   26 Jul 2021, 01:02
(1) The x-intercept of line q is (5,0).
x-intercept of line 3x - 5 = 0
x=5/3≠5
NOT the equation of line q
SUFFICIENT

(2) The slope of line q is 2/3.
Slope of the line 2y + 3x − 5 = 0 is -3/2
NOT the equation of line q
SUFFICIENT

Henve IMO D
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Re: Is 2y + 3x − 5 = 0 the equation of line q? [#permalink]
26 Jul 2021, 01:02
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Bunuel
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