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X intercept of the line L is negative. If the slope of the line

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BSchool Forum Moderator
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X intercept of the line L is negative. If the slope of the line  [#permalink]

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New post 10 Mar 2018, 10:41
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

68% (00:57) correct 32% (01:42) wrong based on 61 sessions

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X intercept of the line L is negative. If the slope of the line is positive, which of
the following could be a possible value of the Y-intercept of L?

I 0
II 1
III -2

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

Source: Experts Global

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Re: X intercept of the line L is negative. If the slope of the line  [#permalink]

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New post 10 Mar 2018, 11:09
pushpitkc wrote:
X intercept of the line L is negative. If the slope of the line is positive, which of
the following could be a possible value of the Y-intercept of L?

I 0
II 1
III -2

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

Source: Experts Global


Instead of trying to create equations, we'll just draw an axes, a common approach with Coordinate Geometry.
This is an Alternative approach.

Drawing our graph (see below) we can SEE that the Y-intercept must be positive.
Only II fits.

(B) is our answer.
Attachments

lines.png
lines.png [ 7.44 KiB | Viewed 550 times ]


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X intercept of the line L is negative. If the slope of the line  [#permalink]

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New post Updated on: 10 Mar 2018, 19:59
Good approach david,

Another approach.

Equation of line is: y = mx +c
Slope, m is positive
x-intercept is negative, hence -c/m <0
hence c is positive or y-intercept is positive.
Answer is Positive y intercept. Option B
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Originally posted by gmatbusters on 10 Mar 2018, 11:13.
Last edited by gmatbusters on 10 Mar 2018, 19:59, edited 2 times in total.
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Re: X intercept of the line L is negative. If the slope of the line  [#permalink]

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New post 10 Mar 2018, 12:40
gmatbusters wrote:
Good approach david,

Another approach.

Equation of line is: y = mx +c
Slope, m is positive
x-intercept is negative, hence -c/m <0
hence c is negative, or y-intercept is negative.
Answer is C


think you have a typo there :)
-c/m <0 --> -c<0 --> c>0
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Re: X intercept of the line L is negative. If the slope of the line  [#permalink]

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New post 10 Mar 2018, 19:57
Oops, thanks for pointing out, I will revise it.


DavidTutorexamPAL wrote:
gmatbusters wrote:
Good approach david,

Another approach.

Equation of line is: y = mx +c
Slope, m is positive
x-intercept is negative, hence -c/m <0
hence c is negative, or y-intercept is negative.
Answer is C


think you have a typo there :)
-c/m <0 --> -c<0 --> c>0

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Re: X intercept of the line L is negative. If the slope of the line &nbs [#permalink] 10 Mar 2018, 19:57
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