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Expert replies
by sana.noor » Thu Aug 22, 2013 10:37 pm
What is the slope of line p?

1. x intercept is twice the y intercept
2. The line passes through the I and III quadrant

OA is C

I understand that statement 2 isnt sufficient as we must also know the signs of x and y coordinates. but statement 1 only says that x is twice y
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Source: — Data Sufficiency |

by [email protected] » Thu Aug 22, 2013 11:52 pm
Hi sana.noor,

For Fact 1, try drawing some examples. It actually is an interesting Number Property that tells you something about the slope of the line...

Since the x-intercept is twice the y-intercept, both numbers are either negative, positive or zero. What does THAT tell you about the slope?

Also, could you DRAW some examples? I bet that you could...

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by sana.noor » Fri Aug 23, 2013 5:53 am
Image

Thank you, i got it
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by [email protected] » Fri Aug 23, 2013 10:13 am
Hi sana.noor,

Nicely done! As you continue to practice co-ordinate geometry questions, you'll find that drawing pictures (even if they're just rough sketches) will help make the questions easier to solve.

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by Mike@Magoosh » Tue Aug 27, 2013 5:02 pm
sana.noor wrote:What is the slope of line p?

1. x intercept is twice the y intercept
2. The line passes through the I and III quadrant
Dear sana.noor,
Here are a few more free practice questions in Coordinate Geometry:
https://magoosh.com/gmat/2013/gmat-quant ... questions/

Enjoy!
Mike :-)
Magoosh GMAT Instructor
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by Brent@GMATPrepNow » Wed Aug 28, 2013 7:37 am
sana.noor wrote:What is the slope of line p?

1. x intercept is twice the y intercept
2. The line passes through the I and III quadrant

OA is C
I'm not a big fan of this question.
To me, the word "twice" makes things ambiguous. Is the statement that "the x-intercept is twice the y-intercept" the same as saying that the x-intercept = 2(y-intercept)?
If so, then we need to consider the possibility that the line passes through the origin, where the x-intercept and the y-intercept both equal zero, since 0 = (2)(0).
If we say that a line passing through the origin satisfies the condition in statement 1, then there are many possible lines with many possible slopes.
Image
In this case, the correct answer is E.


Or is it the case that the word "twice" automatically rules out the possibility that the values equal zero?
I searched "twice" in the OG12 (I have a digital copy), and, from what I can tell, all questions featuring "twice" contain additional information that rule out the possibility that the values equal zero.
So, I'm inclined to say that this question is ambiguous at best.
I think that, if this were a true GMAT question, there would be some additional information that would make things more clear.

Anyone care to weigh in on this one?

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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