Let line n be represented as y = m1x + b1 where m1 is the slope and b1 - y intercept.
Let line p be represented as y = m2x + b2 where m2 is the slope and b2 - y intercept.
From clue 1 it is give, that point (5,1) is the intersection ==> which means (5,1) lies on both the lines. Substitute (5,1) in the above two eq, we get
1 = 5m1 + b1 ==> m1 = 1-b1/5
1 = 5m2 + b2 ==> m2 = 1-b2/5
Slopes are dependent on the Y intercepts and this info is not provided. Hence clue is insufficient.
From clue 2, it is given b1 > b2. Now be careful here, don't think that (5,1) passes thru the lines. this from Clue 1 but not avaible in clue in 2. We need to know which of the points are passing thru these two lines. And this is crucial to decide which of the two slopes are greater. Hence clue alone is insifficient.
Now combine both the clues, We know the points which passes thru both the lines and also know which y intercept is greater.
m1 = 1-b1/5
m2 = 1-b2/5
Since b1 > b2, obviously m1 < m2. (the bigger the number in the numerator is deducted, the smaller the value becomes).
Hence with both the clues, we know which of the slopes is greater. Hence sufficent.
IMO C.
