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The slope of two lines A and B are positive. If the lines intersect above the x-axis, is the slope of line A greater than slope of line B?
(1) Lines A and B intersect in second quadrant.
(2) The y-intercept of A and B are u and v, respectively and u > v
(1) Lines A and B intersect in second quadrant.
(2) The y-intercept of A and B are u and v, respectively and u > v
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The slope of two lines A and B are positive. If the lines intersect above the x-axis, is the slope of line A greater than slope of line B?
(1) Lines A and B intersect in second quadrant.
(2) The y-intercept of A and B are u and v, respectively and u > v
(1) Lines A and B intersect in second quadrant.
(2) The y-intercept of A and B are u and v, respectively and u > v
Bumping!!! Knockout this one and get KUDOS for a correct solution!!!
Quote:
(1) Lines A and B intersect in second quadrant.
gives us no information about the respective lines. Sure they intersect in the second quadrant. Sure one of them will have a greater slope than the other. But which one is it? We don't know. We can't say. Clearly insufficient. Eliminate options A and D.Quote:
(2) The y-intercept of A and B are u and v, respectively and u > v
If two lines with positive slopes intersect above the x-axis in the second quadrant, the one with the greater y-intercept will have a greater slope. But if they intersect above the x-axis in the first quadrant, their y intercepts would be on the negative y-axis and now the one with the greater y-intercept will have a smaller slope. Therefore, since we don't know which quadrant these two lines intersect in, we can't say if A has a greater than B. Eliminate option B.Quote:
(1) Lines A and B intersect in second quadrant.
Quote:
(2) The y-intercept of A and B are u and v, respectively and u > v
Combining the two statements we now know that the two lines intersect in the second quadrant and A has a greater y-intercept. Clearly, A has a greater slope than B. And this is sufficient to answer our question.Hence, we can answer the question using both the statements together, option C.
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