Concept:  The question tests on basic Coordinate Geometry

Solution:

The equation of the line is given by y = mx + c, where m is the slope and c is the y intercept.


(1) Since the line is moving downwards, the slope is negative. This rules out options A and C.

(2) The line cuts the negative y axis, therefore the y intercept has to be negative. This rules out B.


Now looking at the figure carefully, we see that the x intercept is a little bit more than the y intercept in terms of the distance from the origin, or they are almost equal.

From Option D, putting x = 0, the y intercept = -2/3 = -0.67.

Putting y = 0, the x intercept = -2/9 = -0.22


The difference is too much. Check for Option E


From Option E, putting x = 0, the y intercept = -3.

Putting y = 0, the x intercept = -9/2 = -4.5


 Option E