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# Is the slope of the line that passes through the point (p, q) positiv

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Manager
Joined: 03 Mar 2018
Posts: 215
Is the slope of the line that passes through the point (p, q) positiv  [#permalink]

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15 Apr 2018, 00:08
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Difficulty:

55% (hard)

Question Stats:

61% (01:21) correct 39% (01:25) wrong based on 34 sessions

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Is the slope of the line that passes through the point (p, q) positive?

1) p, q > 0
2) The x-intercept of the line is k, such that k > p.

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Joined: 26 Jan 2018
Posts: 11
Location: India
GPA: 4
WE: Human Resources (Computer Software)
Re: Is the slope of the line that passes through the point (p, q) positiv  [#permalink]

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15 Apr 2018, 00:31
itisSheldon, yes the correct answer is C.

1. Let p=1, q =1. Not sufficient.
2. Let x intercept be 2 (k>p). Not Sufficient.

Combine these two p=1, q=1 and x-intercept=2
Since p will always be less than k. The slope has to be negative.
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Re: Is the slope of the line that passes through the point (p, q) positiv  [#permalink]

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15 Apr 2018, 10:55
itisSheldon wrote:
Is the slope of the line that passes through the point (p, q) positive?

1) p, q > 0
2) The x-intercept of the line is k, such that k > p.

(1) is simply not sufficient.

(2) So the line passes through the point (k,0). We have two points as (p,q) and (k,0) which lie on this line. Slope = (q-0)/(p-k) = q/(p-k)
Since k > p, p - k is negative but we dont know whether q is positive or negative. So we cannot say whether slope is positive or negative. Not sufficient.

Combining, q is positive and p - k is negative. So the slope is negative. Sufficient. Hence C answer
Re: Is the slope of the line that passes through the point (p, q) positiv   [#permalink] 15 Apr 2018, 10:55
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