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

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pushpitkc
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X intercept of the line L is negative. If the slope of the line [#permalink] New post   10 Mar 2018, 10:41
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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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B
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DavidTutorexamPAL
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Re: X intercept of the line L is negative. If the slope of the line [#permalink] 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.
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GMATBusters
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X intercept of the line L is negative. If the slope of the line [#permalink] New post   Updated on: 10 Mar 2018, 19:59
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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

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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DavidTutorexamPAL
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Re: X intercept of the line L is negative. If the slope of the line [#permalink] 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] New post   10 Mar 2018, 19:57
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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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riagarg07
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X intercept of the line L is negative. If the slope of the line [#permalink] New post   24 May 2020, 01:27
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




1st Point : (-x,0) 2nd Point: (0,y)

Slope = (y2-y1)/(x2-x1)
Here we get,

(y-0)/(0-(-x)) >> y/x

The slope is positive as per question, so we need positive value for 'y' in the numerator.
Hence, Option C is the answer.
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Matroo
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Re: X intercept of the line L is negative. If the slope of the line [#permalink] New post   30 Jul 2020, 03:31
riagarg07

The slope is positive as per question, so we need positive value for 'y' in the numerator. That is why answer is B and not C. :)
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Re: X intercept of the line L is negative. If the slope of the line [#permalink]
30 Jul 2020, 03:31
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