priyank.hirani wrote:Lines n and p lie in the xy plane.Is the slope of line n less than the slpe of line p??
(1)Lines n and p intersect at (5,1)
(2)The y intercept of line n is greater than the y intercept of line p.
Neither statement alone is sufficient to determine the relationship between the slopes.
Statements 1 and 2 combined:
Let (0,n) = the y-intercept of line n.
Let (0,p) = the y-intercept of line p.
Since (5,1) is on each line:
The slope of line n = (n-1)/(0-5) = (n-1)/(-5).
The slope of line p = (p-1)/(0-5) = (p-1)/(-5).
Since statement 2 indicates that n>p:
n-1 > p-1
(n-1)/(-5) < (p-1)/(-5). (When we divide by a negative value, we flip the inequality.)
Thus, the slope of line n < the slope of line p.
SUFFICIENT.
The correct answer is
C.
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