My guess is that A is the correct answer. If you know that the slope is negative then the line will definitely cross the second quadrant (just draw the system of coordinates and see it for yourself).

(2) is insufficient in my opinion because the line could be upward sloping with the intercept of -6 and not cross the second quadrant. However, it could also be downward sloping in which case it will cross the quadrant, i.e. case (i)

What's the OA?

I think its E

stmt 1 - my guess is there can be many lines with slope -1/6, e.g consider points (1,5) and (7,4) you get a slope -1/6 try these points with different quadrants

stmt 2 - there can be many lines with y=-6 intercept

you are correct funx, answer is A!

however, i don't see it. technically, wouldn't a positive and negative slope cross all 4 quadrants?

Or, couldn't you have 2 points for line k that exist only in one quadrant?