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coordinate system

by GmatKiss » Sat May 19, 2012 1:16 pm
In the rectangular coordinate system, lines m and n intersect at the origin. Is line m perpendicular to line n?

(1) Line n passes through the point (-a, -a), where a ≠ 0, and line m has a slope of -1.

(2) The product of the slope of line m and the slope of line n is -1.
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Source: — Data Sufficiency |
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by neelgandham » Sat May 19, 2012 2:28 pm
In the rectangular coordinate system, lines m and n intersect at the origin. Is line m perpendicular to line n?
(1) Line n passes through the point (-a, -a), where a ≠ 0, and line m has a slope of -1.
Line n passes through the points (-a,-a) and (0,0). So slope of Line n = (-a-0/(-a-0) = 1
Slope of line m = -1. The product of the slope of line m and the slope of line n is -1. So, line m and line n are perpendicular to each other.
Statement 1 is sufficient to answer the question.
(2) The product of the slope of line m and the slope of line n is -1.
Perfect! Statement 2 is sufficient to answer the question.

IMO D
Anil Gandham
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