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saurya_s
In the xy-plane, what is the slope of line l?

(1) Line l dose not intersect the line with equation y = 1 - x.
(2) Line l intersects the line with equation y = x – 1.

Does it mean that from1- line l is parallel to given line, hence same slope?

Yes, if the lines do not intersect in the xy-plane, then they are parallel and have the same slope. So, (1) is sufficient: slope of L=-1 and (2) is not as there are infinite # of lines which intersects the line y=x-1.

Answer: A.

For more on this topic check Coordinate Geometry chapter of math Book: math-coordinate-geometry-87652.html

Hope it helps.
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Asked: In the xy-plane, what is the slope of line l?

(1) Line l dose not intersect the line with equation y = 1 - x.
Since line l does not intersect the line with equation y = 1-x, it is parallel to it.
Slope of line l = -1
SUFFICIENT

(2) Line l intersects the line with equation y = x – 1.
Since Line l intersects the line with equation y = x -1, it may have many slopes and can intersection the given line at many different points.
NOT SUFFICIENT

IMO A
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