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The y intercept of a line L is 4. If the slope of L is

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Manager
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The y intercept of a line L is 4. If the slope of L is [#permalink] New post 12 Nov 2007, 19:40
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The y intercept of a line L is 4. If the slope of L is negative, which of the following could be the x intercept of L.

I. -1
II. 0
III. 6

A. I only
B. II only
C. III only
D. I and II
E. I and III
[Reveal] Spoiler: OA
Manager
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Re: The y intercept of a line L is 4. If the slope of L is [#permalink] New post 12 Nov 2007, 19:50
C) III only

The y-intercept is 4. Therefore we have y=mx+4

It is given that the slope is negative. Therefore the line must go from top left to bottom right.

i.e: the x-intercept has to be positive. That itself rules out I & II.

If you choose to go with the options directly, here's an approach.

y=mx+4. For the x-intercept, y=0.
i.e. mx+4=0.

We know that the slope m is negative. Therefore, if x=-1 or x=0, the equation mx+4 =0 would never be satisfied.

If x=6, we have 6m+4=0. A value of m=-2/3 would satisfy this equation.

Hope this helps.
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Re: The y intercept of a line L is 4. If the slope of L is [#permalink] New post 12 Nov 2007, 20:29
Balvinder wrote:
The y intercept of a line L is 4. If the slope of L is negative, which of the fillowing could be the x intercept of L.
I -1
II 0
III 6

A) I only
B) II only
C) III only
D) I and II
E) I and III


The stem tells us that the line is downward sloping (from left to right) and intercepts the y-axis at 4. Therefore, the all possible points of intersection on the x-axis will be positive. III is the only positive option. Answer C.
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Re: The y intercept of a line L is 4. If the slope of L is [#permalink] New post 13 Nov 2007, 04:44
said C, 3 only....got it down to x=4/m ... looked at the answers and only 6 fit.
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Re: The y intercept of a line L is 4. If the slope of L is [#permalink] New post 22 Jul 2014, 19:44
slope(Intercept form) = - y(intercept)/ x (intercept)
we are also given that slope should be negative.
we are told that "y intercept of a line L is 4".

s = -4/x;

x has to be positive to maintain a negative slope .

only option C satisfies.
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Re: The y intercept of a line L is 4. If the slope of L is [#permalink] New post 22 Jul 2014, 23:16
Balvinder wrote:
The y intercept of a line L is 4. If the slope of L is negative, which of the fillowing could be the x intercept of L.
I -1
II 0
III 6

A) I only
B) II only
C) III only
D) I and II
E) I and III


With a Y-intercept of (0,4) and a negative slope, there is NO WAY for the x intercept to be less than or equal to 0

Answer is C
Re: The y intercept of a line L is 4. If the slope of L is   [#permalink] 22 Jul 2014, 23:16
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