Bunuel wrote:

Line A passes through point (r, s) on the coordinate plane. Is the slope of A > 0?

(1) Line A passes through point (0, 0).

(2) Line A passes through point (u, t), where r > u and t > s.

Kudos for a correct solution.

IMO: B

Statement 1: Passing through (0,0) and (r,s), then slope of the line =\(\frac{y2 - y1}{x2-x1}\)

Slope = r/s

We will end up with negative slope if r and s are of opp signs

or with positive slopes if r and s are of same signs

Hence not suffStatement 2: Line A passes through point (u, t), where r > u and t > s.

r>u --> we can infer that it shifts towards right side (east) of the plane

s<t --> we can infer that it shifts towards bottom side (south) of the plane.

Thus formed as below in the fig:

Attachment:

2.jpg [ 22.6 KiB | Viewed 2241 times ]
If we shift the point (u,t) from Quadrant 1 to Quadrant 2 ..The point (r,s) will also shift respectively.

In other words the whole line is shifted from one space to another, with the slope remaining same.

Thus no change in slope(constant). And the slope is negative.Hence suff
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