In the xy-plane, the line k passes through the origin and through point (a, b), where ab does not equal zero. Is b positive?

1. The slope of k is negative
2. a'<'b





We are given that slope(m) = (b/a); ab != 0
Question : Is b '>' 0?

(1) says (b/a) '<' 0
This could mean 2 things
a) Either a '> 0 & b '<' 0 OR
b) a '<' 0 & b '>' 0

Both are of opposite signs.

This is not sufficient to ans the question. This eliminated A & D

(2) a '<' b
This could mean
a) a '< '0 & b '>' 0 (eg -1 <>
b) a '>' 0 & b '>' 0 (eg. 2 <>
c) a '<' 0 & b '<' 0 (eg -2 '<' -1)

This is also not sufficnet. WE can eliminate B.

If we combine (1) and (2), we get
1(b) and 2(a) give a definite solution. We can ans the question. So C is the ans.