If line M passes through exactly 2 of the quadrants shown above and ha

line M passes through exactly two quadrants. So it can be either parallel to axis or passing through origin. we know that slope is more than -1, s it can be -0.5 or 0, 1, 2,3. If the slope is -0.5, then the only condition in which it will pass through two quadrants is if it passes through origin with negative slope. If the slope is positive i.e. 1 or 2, then the line will pass through origin and through quadrants 1 and 3.
Now, according to the 1st condition,
1. line M passes through 1st quadrant, but the value of slope can be anything 1,2,3. so option A and D got eliminated.
2. Line M passes through 3rd quadrant, but again the value can be anything. So option B got eliminated.
Combining both the conditions, still we don't have a unique answer.
Therefore the answer is E.