slope question

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Night reader: Legendary Member; Posts: 1337; Joined: Sat Dec 27, 2008 6:29 pmFollowed by: 10 members; Thanked: 127 times

by Night reader » Mon Dec 20, 2010 2:07 am

What is the slope of line l in the rectangular coordinate system?

(1) Line l intersects line y = x + 5 in more than one point
(2) Line l is parallel with line y = x + 12

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Source: Beat The GMAT — Data Sufficiency | Mon Dec 20, 2010 2:07 am

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Rahul@gurome: GMAT Instructor; Posts: 1179; Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members; Location: Milpitas, CA; Thanked: 447 times

by Rahul@gurome » Mon Dec 20, 2010 2:18 am

Statement 1: Line l intersects line y = x + 5 in more than one point
Two straight lines cannot intersect at more than one points unless they coincide one upon another. Thus line l and line (y = x + 5) is same. Hence slope of line l = slope of (y = x + 5)

Sufficient.

Statement 2: Line l is parallel with line y = x + 12
Slope of line l = slope of (y = x + 12)

Sufficient.

The correct answer is D.

Rahul Lakhani
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