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题库 / Prep2008E1-DS-16
Lines n and p lie in the xy-plane. Is the slope of line n less than the slope of line p ?
(1) Lines n and p intersect at the point (5,1).
(2) The y-intercept of line n is greater than the y-intercept of line p.
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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截距是有正负的。一画图就知道了，如果不画图的话：
（1）只有一个点无法得知斜率。
（2）只有截距，截距大的斜率不一定大。
（1+2）设你Line n在y轴的交点为(0,y1), Line p在y轴的交点为(0,y2)，由（2）知，y1>y2
由（1+2）可得Line n的斜率k1=(y1-1)(0-5), Line p的斜率k2=(y2-1)/(0-5)，因为y1>y2，所以k1