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# The y-intercept of a line l is 4. If the slope of l is

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Director
Joined: 10 Feb 2006
Posts: 657
The y-intercept of a line l is 4. If the slope of l is [#permalink]

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17 Sep 2006, 17:10
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

1. -1
2. 0
3. 6

A. I only
b. ii only
c. iii only
d. I and II
e. I and III
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Intern
Joined: 16 Aug 2006
Posts: 17

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17 Sep 2006, 22:33
alimad, for the line described the x-intercept has to be greater than zero, if the intercept is negative then the line has positive slope, if the intercept is zero then the line has infinite slope (or undefined?), that's why the answer is C, I think.

carlos
Director
Joined: 06 May 2006
Posts: 791

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17 Sep 2006, 22:43
crrrrg wrote:
alimad, for the line described the x-intercept has to be greater than zero, if the intercept is negative then the line has positive slope, if the intercept is zero then the line has infinite slope (or undefined?), that's why the answer is C, I think.

carlos

Perfect... Answer is C.
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Director
Joined: 28 Dec 2005
Posts: 752

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17 Sep 2006, 22:52
C for me.

y=mx+4

at x=0, y=4.

consider 1: y=0, x= -1. slope = (4-0)/(0+1) = 4...+ve slope => cannot be 1
consider 2: y=0, x=0. slope = undefined, since denom is 0....cannot be 2
consider 3: y=0, x=6: slope = (4-0)/(0-6) = -2/3 ... -ve
17 Sep 2006, 22:52
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# The y-intercept of a line l is 4. If the slope of l is

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