**Quote:**

In the question it is mentioned that line A passes through (r, s) in the coordinate plane. In option 1 it is clearly stated that line A passes through (0, 0). So, the slope becomes (s – 0)/(r – 0) = s/r.

That is correct.

**Quote:**

When it is mentioned that in the coordinate plane there is a point (*r*, *s*) so it can be fathomed that *r* is in +ve X quadrant and *s* is also in +ve Y quadrant.

No. We can not assume that. It is not stated that

*r* and

*s* are positive numbers.

Furthermore, nothing specific is stated about (

*r*,

*s*), except that it is a point on the coordinate plane. Therefore (

*r*,

*s*) can be

**anywhere **on the coordinate plane.