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In the xy-plane is the slope of line k equal to 0?

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In the xy-plane is the slope of line k equal to 0? [#permalink] New post   Updated on: 18 Jun 2013, 01:37
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In the xy-plane is the slope of line k equal to 0?

(1) The x-intercept of k is 0.
(2) The y-intercept of k is 0.

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Official Answer
A

Originally posted by fozzzy on 20 Jan 2013, 07:09.
Last edited by fozzzy on 18 Jun 2013, 01:37, edited 1 time in total.
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink] New post   21 Jan 2013, 05:04
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fozzzy wrote:
Don't you think this question has ambiguity, the official explanation didn't really make sense.


Definitely. Is this question really from GMAT Prep? If so, can you pleas provide OA given there? Thank you.

In the xy-plane is the slope of line k equal to 0?

The questions basically asks whether line k is a horizontal line (the slope of any horizontal line is always zero. For more check here: math-coordinate-geometry-87652.html).

(1) The x-intercept of k is 0. Now, I'm not a verbal expert, but the x-intercept implies that there is only one point of interception with x-axis, which means that we can eliminate y=0 line. So, we have that line k is not y=0 and has x-intercept, thus it cannot be horizontal --> the slope does not equal to 0. Sufficient.

(2) The y-intercept of k is 0. Clearly insufficient.

Answer: A.

I think GMAT Prep is wrong here.
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink] New post   21 Jan 2013, 05:13
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink] New post   21 Jan 2013, 05:14
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The official explanation
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink] New post   01 Apr 2014, 08:21
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goodyear2013 wrote:
Hi, I emailed the GMAC and checked the answer of this question.
I asked whether the answer could be (A).

Here is the reply of GMAC;

Answer is E.
The answer explanation explains it.
There are an infinite number of equations that have an x-intercept = 0 but do not have a slope equal to 0.

The answer explanation provides just one counter example: the equation y=x.
Other counterexamples include y=2x, y=3x, y=1/2x, y=1/3x, etc.
Because there is at least one example where the answer is yes (the slope = 0) and
at least one example where the answer is no (the slope is not = 0), then statement (1) is not sufficient.


None of the examples from GMAC (y=x, y=2x, y=3x, y=1/2x, y=1/3x) has the slope of 0. They say "an x-intercept = 0", while the question says "the x-intercept of k is 0". In the current form the answer must be A, no matter what the GMAC says.

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Re: In the xy-plane is the slope of line k equal to 0? [#permalink] New post   21 Jan 2013, 04:50
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Don't you think this question has ambiguity, the official explanation didn't really make sense. Its taking into account multiple intercepts.
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink] New post   29 Dec 2013, 03:03
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fozzzy wrote:
In the xy-plane is the slope of line k equal to 0?

(1) The x-intercept of k is 0.
(2) The y-intercept of k is 0.


Ron Purewal ManhattanGMAT:
GMAC has actually admitted that this problem is flawed. who knows how long it will take until a software release in which it is fixed, but GMAC has admitted that its use of the x-axis as a possibility doesn't square with the use of "THE x-intercept".
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink] New post   21 Jan 2013, 05:16
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fozzzy wrote:
The official explanation


From my point of view, OA is wrong.
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink] New post   01 Apr 2014, 07:29
Hi, I emailed the GMAC and checked the answer of this question.
I asked whether the answer could be (A).

Here is the reply of GMAC;

Answer is E.
The answer explanation explains it.
There are an infinite number of equations that have an x-intercept = 0 but do not have a slope equal to 0.

The answer explanation provides just one counter example: the equation y=x.
Other counterexamples include y=2x, y=3x, y=1/2x, y=1/3x, etc.
Because there is at least one example where the answer is yes (the slope = 0) and
at least one example where the answer is no (the slope is not = 0), then statement (1) is not sufficient.
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink]
01 Apr 2014, 07:29
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