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# In the XY-coordinate plane like L and like K intersect at

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Intern
Joined: 08 Oct 2007
Posts: 33
In the XY-coordinate plane like L and like K intersect at  [#permalink]

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30 Nov 2008, 08:16
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In the XY-coordinate plane like L and like K intersect at the point (4;3). Is the product of their slopes negative?

1) The product of the X-intercepts of lines L and K is positive
2) The product of the y-intercepts of lines L and K is negatvie.

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Manager
Joined: 18 Nov 2008
Posts: 108

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30 Nov 2008, 08:49
Quote:
In the XY-coordinate plane like L and like K intersect at the point (4;3). Is the product of their slopes negative?

1) The product of the X-intercepts of lines L and K is positive
2) The product of the y-intercepts of lines L and K is negatvie.

1) no info about y-intercepts, Insuff.
2) no info about x-intercepts, Insuff.

Combined, and given that L and K intersect ar the (4;3), we conclude that two lines intersect in the I quadrant and thus x-intercepts of the lines must be both positive to make the product positive as given in 1). If they were both negative, one line would have gone through II and IV quadrant. Consequently, given in 2) that product of y-intercepts is negative it becomes clear that these two lines have different slopes, product of which is negative.

C

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Re: DS xy plane &nbs [#permalink] 30 Nov 2008, 08:49
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