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In the rectangular coordinate system, lines m and n cross at

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Director
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Joined: 10 Feb 2006
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In the rectangular coordinate system, lines m and n cross at [#permalink] New post 23 Nov 2007, 11:20
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In the rectangular coordinate system, lines m and n cross at the origin. Is line m perpendicular to line n?

(1) m has a slope of -1 and n passes through the point (-a, -a).

(2) If the slope of m is x and the slope of n is y, then -xy = 1.
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Manager
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Joined: 26 Sep 2007
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 [#permalink] New post 23 Nov 2007, 11:54
D

For lines to be perpendicular,
slope1*slope2 = -1

Stmt 1)
Slope of line m = -1
Slope of line n = 0-(-a)/0-(-a) = 1
So, slope of m * slope of n = -1
Sufficient

Stmt2)
Slope of m * Slope of n = xy = -1
Sufficient
  [#permalink] 23 Nov 2007, 11:54
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In the rectangular coordinate system, lines m and n cross at

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