Pretz wrote:

The y-intercept of line k is negative. If the slope of line k is also

negative, which of the following could be the x-intercept of line k?

I. -4

II. 0

III. 3

(A) I only

(B) II only

(C) III only

(D) I and II

(E) I and III

Simply use this concept to solve this in a few seconds:

Slope of a line = - (y intercept)/(x intercept)

We know this property intuitively (explained here:

http://www.veritasprep.com/blog/2011/09 ... -vertices/) but we still don't use it! Mind you, it is very useful in quite a few questions.

You are given that y intercept is negative. For slope to be negative, y intercept/x intercept should be positive so x intercept should be also be negative to cancel out the negative of the y intercept.

Only I is negative so answer is (A)

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Karishma

Veritas Prep GMAT Instructor

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