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Re: The y intercept of a line L is 4. If the slope of L is [#permalink]
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.

Re: The y intercept of a line L is 4. If the slope of L is [#permalink]
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 .

Re: The y intercept of a line L is 4. If the slope of L is [#permalink]
24 Jul 2014, 21:06

1

This post received KUDOS

Expert's post

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Balvinder wrote:

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

Slope of a line = – (y intercept)/(x intercept) Since slope is given to be negative, and y intercept is positive, we can say that x intercept must be positive too. So x intercept can be only III.

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