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In the coordinate plane, Line H has a positive slope, and Line J never

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In the coordinate plane, Line H has a positive slope, and Line J never  [#permalink]

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New post 21 Aug 2018, 06:18
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72% (01:21) correct 28% (01:35) wrong based on 150 sessions

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In the coordinate plane, Line H has a positive slope, and Line J never passes through the first quadrant. Which of the following could be true?

I. line J is perpendicular to line H
II. line J is parallel to line H
III. line J intersects line H on the x-axis


A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III

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Re: In the coordinate plane, Line H has a positive slope, and Line J never  [#permalink]

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New post 21 Aug 2018, 07:24
Bunuel wrote:
In the coordinate plane, Line H has a positive slope, and Line J never passes through the first quadrant. Which of the following could be true?

I. line J is perpendicular to line H
II. line J is parallel to line H
III. line J intersects line H on the x-axis


A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III



Line H will always pass through quadrant I

I. J is perpendicular to H..
Yes possible as J will have negative slope and can be made in a way that it does not cross quadrant I..
II. J is parallel to H.
No then J too will have positive slope and will pass through quadrant I
III. Line J intersects H on X axis.
Yes possible. J and H can cross on negative x..

So I and III are possible

C
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Re: In the coordinate plane, Line H has a positive slope, and Line J never  [#permalink]

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New post 19 Oct 2018, 11:17
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Bunuel wrote:
In the coordinate plane, Line H has a positive slope, and Line J never passes through the first quadrant. Which of the following could be true?

I. line J is perpendicular to line H
II. line J is parallel to line H
III. line J intersects line H on the x-axis


A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III


GIVEN: Line J never passes through the first quadrant
This means line J has a NEGATIVE slope, AND line J has a negative y-intercept (see below for an example of how line J might look)
Image

I. line J is perpendicular to line H
POSSIBLE (see diagram below)

II. line J is parallel to line H
We know that line J has a NEGATIVE slope and we're told that line H has a POSITIVE slope.
In order for two lines to be parallel, their slopes must be equal.
Since a NEGATIVE slope can never equal a POSITIVE slope, statement II is NOT possible.

III. line J intersects line H on the x-axis
POSSIBLE (see diagram below)
Image

Answer: C

Cheers,
Brent
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Re: In the coordinate plane, Line H has a positive slope, and Line J never   [#permalink] 19 Oct 2018, 11:17
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In the coordinate plane, Line H has a positive slope, and Line J never

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