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Manager
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slope [#permalink]

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New post 31 May 2009, 10:10
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Line X's slope>0, Line Y's slope<0. Line Y's intersection with axis-y is less than that of X. If X's intersection with axis-x is 2, which of the following could be the Y's intersection with axis-x?
I.-1
II.0
III.1

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Manager
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Re: slope [#permalink]

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New post 31 May 2009, 10:23
only I could be true.

If Line X's slope is positive, and its x-intercept is 2, then its y-intercept must be negative.

If Line Y's slope is negative, and its y intercept is negative (as it is less than Line X's), then its x-intercept must also be negative.
(y=mx+b, if b and m are negative, then x must be negative for y=0, or x intercept)

Therefore, only I can be true, the others are not possible.

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Senior Manager
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Concentration: Technology, Marketing
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Re: slope [#permalink]

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New post 31 May 2009, 15:21
dk94588 wrote:
only I could be true.

If Line X's slope is positive, and its x-intercept is 2, then its y-intercept must be negative.

If Line Y's slope is negative, and its y intercept is negative (as it is less than Line X's), then its x-intercept must also be negative.
(y=mx+b, if b and m are negative, then x must be negative for y=0, or x intercept)

Therefore, only I can be true, the others are not possible.



If Line X's slope is positive, and its x-intercept is 2, then its y-intercept must be positive.
I think you missed something here.

I think all 3 values are possible.
Please have a look at the diag.
Blue represents Y's x intercept and Black (bold) represents X's x intercept.
Attachments

Untitled.jpg
Untitled.jpg [ 6.19 KiB | Viewed 1206 times ]


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Re: slope [#permalink]

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New post 31 May 2009, 19:24
the x intercept in your graph is negative, the x axis goes -2 -1 0 1 2

the y intercept is where x=0, and the x intercept is where y=0,

if Line X's slope is positive, then its slope reversed would be negative. If y=0 at x=2, then y<0 at x<2, because y would have to decrease as x decreases.

in short, the x-intercept in your graph is on the wrong side of the y-axis.

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Re: slope [#permalink]

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New post 31 May 2009, 22:16
Since the slope of Line X is + ve, its intercept will be +ve and for Line Y the intercept will be negative.
In our case X = 2, so Y will have a -ve intercept, and only -1 is +ve.

IMO A

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Re: slope   [#permalink] 31 May 2009, 22:16
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