itisSheldon wrote:

Is the slope of the line that passes through the point (p, q) positive?

1) p, q > 0

2) The x-intercept of the line is k, such that k > p.

(1) is simply not sufficient.

(2) So the line passes through the point (k,0). We have two points as (p,q) and (k,0) which lie on this line. Slope = (q-0)/(p-k) = q/(p-k)

Since k > p, p - k is negative but we dont know whether q is positive or negative. So we cannot say whether slope is positive or negative. Not sufficient.

Combining, q is positive and p - k is negative. So the slope is negative. Sufficient. Hence

C answer