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

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The y-intercept of a line l is 4. If the slope of l is [#permalink] New post 17 Sep 2006, 17:10
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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 [#permalink] New post 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
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 [#permalink] New post 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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 [#permalink] New post 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
  [#permalink] 17 Sep 2006, 22:52
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