Does the line L pass quadrant IV？(1)The slope of L is negative.(2)y-intercept

游客2024-01-13 43

问题 Does the line L pass quadrant IV？
(1)The slope of L is negative.
(2)y-intercept of line L is-5.

选项 A、Statement (1) ALONE is sufficient, but statement (44) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (43) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (44) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(44)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

答案 D

解析对于Statement (1)，只要斜率是负数，那么L一定过第四象限。对于Statement (2)，直线L在y轴上的截距为负数，那么无论斜率是多少，直线总是过第四象限。因此答案为D。

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