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Is the slope of line q negative?
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12 Jan 2015, 08:27
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67% (00:31) correct 33% (00:36) wrong based on 172 sessions
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Is the slope of line q negative? (1) Line q has a negative xintercept. (2) Line q passes through Quadrant I.
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Re: Is the slope of line q negative?
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12 Jan 2015, 09:02
Slope of the line is nothing but Tan of the angle it makes with x axis (right side)
Clearly both statement alone are not sufficient
Both together Line has to make an acute angle with x axis > tan of that angle has to be positive and slope too. So slope of line q is positive (not negative) hence ans, C



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Re: Is the slope of line q negative?
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12 Jan 2015, 09:25
For this question, I would visualize it.
1)  negative x intercept, you could have either a positive or negative slope right?  Insufficient 2)  passes through quadrant 1, again you could have a line that is either positive or negative slope right?  Insufficient
Test together  if you choose a line that must have a negative x intercept, let's choose 5. If the slope is positive, it will pass through Quandrant 1, if the slope is negative, it cannot pass through 1 as it goes through quadrant 4. Since 2 tells you it passes through quandrant 1  you know the slope must be positive.
So the answer is NO, the slope is positive  C, you'll need both statements.



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Re: Is the slope of line q negative?
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13 Jan 2015, 00:47
option C Please find attached the figure.
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Q.JPG [ 16.56 KiB  Viewed 2791 times ]



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Re: Is the slope of line q negative?
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05 Mar 2015, 11:22
DesiGmat wrote: option C
Please find attached the figure. Hi, I thought I understood this question until I saw this image. Is the line in the last (combined) coordinate plane correct? The y intercept is where the line crosses the y axis, right? If yes, then the line should cross the bottom part of y (the horizontal axis) at some point. Then, if the line in the plane has to go through Q 1, it should look like in the following graph, or am I wrong? Otherwise, it is not crossing the y axis...
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q1.png [ 2.12 KiB  Viewed 2652 times ]



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Re: Is the slope of line q negative?
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05 Mar 2015, 11:43
Hi pacifist85, In the original prompt, Fact 1 tells us that the XINTERCEPT of Line L is negative. In your drawing, you've made the Xintercept POSITIVE (so the drawing does not match the Facts and is incorrect). GMAT assassins aren't born, they're made, Rich
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Is the slope of line q negative?
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05 Mar 2015, 11:48
EMPOWERgmatRichC wrote: Hi pacifist85,
In the original prompt, Fact 1 tells us that the XINTERCEPT of Line L is negative. In your drawing, you've made the Xintercept POSITIVE (so the drawing does not match the Facts and is incorrect).
GMAT assassins aren't born, they're made, Rich Oh I am sorry... Did I read y intercept instead of x intercept? Probably... Or perhaps I dragged the question into the answer choices trying to make the intercept negative and mixing everything up. Whatever I did, my bad!



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Re: Is the slope of line q negative?
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18 Sep 2016, 07:02
Original Solution: C Explanation by Veritas prep: If a line has a negative xintercept, that means that its slope and its yintercept must share a sign: either both are negative or both are positive. (Remember that the xintercept can be expressed as –(b/m), so if only one of those values is negative, then –(b/m) must be positive, making a positive xintercept.) Statement (1) is thus INSUFFICIENT. Statement (2) is useless: any line can pass through Quadrant 1; INSUFFICIENT. Combine the statements and visualize the line. If the line crosses the xaxis to the left of zero, then it can only go through Quadrant I if it has a positive slope; if it had a negative slope, it would pass through Quadrants II, III, and IV. (C).



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Is the slope of line q negative?
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18 Sep 2016, 08:28
Is the slope of line q negative? since we have intercepts, slopes and quadrants in picture, let me take the equation of line as \(\frac{x}{a}+\frac{y}{b}=1\) or \(y=(\frac{b}{a})x+b\) where slope of the line is \((\frac{b}{a})\)statement 1: Line q has a negative xintercept.\(a\) is negative say \(1\) (any negative integer) by substituting \(a=1\) we get the equation of line as \(y=bx+b\) but still we have no idea what is the sign of b i.e., y intercept can be either positive or negative. if b is positive slope of line q is positive if b is negative slope of line q is negative
thus statement 1 is insufficient.statement 2: Line q passes through Quadrant I.we can easily conclude that line slope can be both positive and negative. b is positive whereas a can be negative or positive. Now combine both statements I and II
we know that b is positive in Quadrant I and a is negative.
thus slope is always positive and never negative.
answer NO sufficient YES



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Re: Is the slope of line q negative?
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26 Nov 2018, 23:28
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