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

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Math Expert
Joined: 02 Sep 2009
Posts: 46284
Is 2y+3x−5=0 the equation of line q? [#permalink]

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21 Aug 2017, 13:18
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Difficulty:

45% (medium)

Question Stats:

54% (01:03) correct 46% (00:58) wrong based on 85 sessions

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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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Math Expert
Joined: 02 Aug 2009
Posts: 5928
Re: Is 2y+3x−5=0 the equation of line q? [#permalink]

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21 Aug 2017, 22:13
Is 2y+3x−5=0 the equation of line q?

(1) The x-intercept of line q is (5,0).
let's find the x intercept of equation 2y+3x-5=0...
Put y=0 to find value of x...
2*0+3x-5=0....X=5/3

But here x is given as 0, so clearly and is NO
Sufficient

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

rewrite equation in slope form
2y+3x-5=0....Y=5-3x/2..
So slope is -3/2

So slope is not same
Ans NO
Sufficient

D
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Re: Is 2y+3x−5=0 the equation of line q? [#permalink]

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22 Aug 2017, 00:14
statement1: The x-intercept of line q is (5,0).
putting x=5 in the equation of given line: 2y+3x−5=0
we get, y= -5. So we can say that given equation is not the equation is not for line q --> hence sufficient

statement2: The slope of line q is 2/3.
the given equation can be written as: y = (-3/2)x+(5/2), hence teh slope of this line is -3/2, which is not equal to the given slope
So we can say that given equation is not the equation is not for line q --> hence sufficient
Option D
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Re: Is 2y+3x−5=0 the equation of line q? [#permalink]

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22 Aug 2017, 07:27
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.

From Q : we can rearrange into $$y = \frac{-3}{2} X + \frac{5}{2}$$

Statement 1 :
- We can plug X = 0, whatever the Y value we get, this is sufficient to answer the question.

Statement 2 :
- We can see that in our equation, slope is $$\frac{-3}{2}$$.
- This statement says that slope is $$\frac{2}{3}$$. So clearly this is not the equation of line q.
- Since we can definite answer, this is sufficient.

D.
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Re: Is 2y+3x−5=0 the equation of line q?   [#permalink] 22 Aug 2017, 07:27
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# Is 2y+3x−5=0 the equation of line q?

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