Bunuel wrote:
If k and ℓ are lines in the xy-plane, is the slope of k less than the slope of ℓ ?
(1) The x-intercept of line k is positive, and the x-intercept of line ℓ is negative.
(2) Lines k and ℓ intersect on the positive y-axis.
NEW question from GMAT® Quantitative Review 2019
(DS13097)
Relation between slope and intercepts of a line: Slope of a line = – (y intercept)/(x intercept)
Is slopek < slopel ?
Is - yk / xk < - yl / xl ?
Is yk / xk > yl / xl ?
(1) The x-intercept of line k is positive, and the x-intercept of line ℓ is negative.
xk > 0
xl < 0
Since we don't know anything about yk and yl, this is not sufficient.
(2) Lines k and ℓ intersect on the positive y-axis.
This means both yk and yl are positive. But we don't know anything about xk and xl.
Using both, yk/xk is positive because both yk and xk are positive.
yl/xl is negative because yl is positive but xl is negative.
Then, yk / xk is certainly greater than yl / xl.
Sufficient. Answer (C)
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Karishma
Veritas Prep GMAT Instructor
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