BANON wrote:
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:
Lines n and p intersect at the point (5 , 1)
There can be infinite lines passing through (5,1), we don't know which are lines n & p. Hence we cannot answer the question about their slopes.
Statement 1 alone is Not Sufficient.
Statement 2:
The y-intercept of line n is greater than the y-intercept of line p
The lines can be passing through any quadrant, irrespective of how their y intercepts compare to each other, hence their slopes will vary.
Statement 2 alone is not Sufficient.
Combining the 2 statements.
We have. Two specific lines, passing through point (5,1), with y intercept of one greater than the other.
This is enough information to imagine their slopes.
Combing the 2 statements is Sufficient.
Answer C.
Thanks,
GyM
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