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In the xy-plane is the slope of line k equal to 0? [#permalink]
 20 Jan 2013, 07:09
Question Stats:
55% (01:34) correct
44% (00:41) wrong based on 63 sessions
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.
Last edited by fozzzy on 18 Jun 2013, 01:37, edited 1 time in total.
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Re: In the xy-plance is the slope of line k equal to 0? [#permalink]
20 Jan 2013, 08:25
fozzzy wrote: In the xy-plance 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. The question is asking whether the link k is parallel to x-axis or x-axis itself. 1) x intercept of k =0 i.e. when line k intersects x axis, the intersection point is at 0 distance from origin OR indirectly the line k intersects x axis at origin. Insufficient infromation as the line can have any slope. 2) y intercept of k=0 i.e. when line k intersects y axis, the intersection point is at 0 distance from origin OR indirectly the line k intersects y axis at origin. Insufficient info as the line can have any slope. On combining, we see that the line passes through origin. Now we see that the line can have any slope. The slope can be positive, negative and zero. Not sufficient.
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Re: In the xy-plance is the slope of line k equal to 0? [#permalink]
21 Jan 2013, 04:50
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-plance is the slope of line k equal to 0? [#permalink]
21 Jan 2013, 05:04
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]
21 Jan 2013, 05:13
Here is a screenshot of the question
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question screenshot.jpg [ 14.31 KiB | Viewed 1028 times ]
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink]
21 Jan 2013, 05:14
The official explanation
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Official explanation.jpg [ 21.43 KiB | Viewed 1025 times ]
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink]
21 Jan 2013, 05:16
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In the xy-plane, is the slope of line k equal to 0 ? [#permalink]
25 Apr 2013, 17:43
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. My doubt is this:
In (1), y = x satisfies the condition, and the answer would be NO.
But if we use y = 0, it seems that the answer would be YES. However, are we satisfying the condition? I am not sure.
If y=0, line k is touching every point of the x-axis because it is on the x axis. Therefore, there would be infinite x-intercepts, not only zero. In this sense, y=0 cannot be a solution, so the slope of line k is not 0. The answer would be NO.
So, (1) would be sufficient.
But the OA is E.  Please explain.
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Re: In the xy-plane, is the slope of line k equal to 0 ? [#permalink]
25 Apr 2013, 23:05
danzig 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. My doubt is this:
In (1), y = x satisfies the condition, and the answer would be NO.
But if we use y = 0, it seems that the answer would be YES. However, are we satisfying the condition? I am not sure.
If y=0, line k is touching every point of the x-axis because it is on the x axis. Therefore, there would be infinite x-intercepts, not only zero. In this sense, y=0 cannot be a solution, so the slope of line k is not 0. The answer would be NO.
So, (1) would be sufficient.
But the OA is E. Please explain.
The OA is wrong. Bunuel has already dealt with this: in-the-xy-plane-is-the-slope-of-line-k-equal-to-146084.html
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Re: In the xy-plane, is the slope of line k equal to 0 ? [#permalink]
26 Apr 2013, 00:18
danzig 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. My doubt is this:
In (1), y = x satisfies the condition, and the answer would be NO.
But if we use y = 0, it seems that the answer would be YES. However, are we satisfying the condition? I am not sure.
If y=0, line k is touching every point of the x-axis because it is on the x axis. Therefore, there would be infinite x-intercepts, not only zero. In this sense, y=0 cannot be a solution, so the slope of line k is not 0. The answer would be NO.
So, (1) would be sufficient.
But the OA is E. Please explain.
Merging similar topics. Please refer to the solutions above.
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink]
27 Apr 2013, 10:42
I agree with marcab's solution. As rightly pointed out by marcab and GMat prep solution, a line passing through origin, y = x and say x axis,both have x and y intercept as zero. that is the reason why we write the equation of the point passing through origin as y =mx and not y = mx + c..I don;t think gmat prep solution or marcabs solution is wrong..
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Re: In the xy-plane is the slope of line k equal to 0? [#permalink]
28 Apr 2013, 03:22
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Re: In the xy-plane is the slope of line k equal to 0?
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28 Apr 2013, 03:22
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