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题库 / GMATAdvanced-DS-46
In the rectangular coordinate system, line k passes through the point(n,-1).Is the slope ofline k greater than zero?
(1)Line k passes through the origin.
(2)Line k passes through the point(1,n+2).
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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combining both statements together
--we know line passes through (0,0) and (1,n+2)
the slope of the line k = n+2
equation of line k -- (y-0) = (n+2)(x-0) -- y =(n+2)x
line k passes through (n,-1)
-1 = (n+2)n
n2n2+2n+1 = 0
(n+1)2(n+1)2 = 0
n = -1
slope of line = n+2 = -1+2 = 1
Is the slope of line k greater than zero?---YES