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Monday, May 4, 2009
Problem 27 - GMAT Coordinate Geomery
In a coordinate system, points A and B have xy-coordinates (5, 2c) and (6, c^2), respectively. If points A and B lie on line k, which has slope 8, then c could equal
formula for slope; y2-y1/x2-x1 => (2c-c^2)/(5-6)=8 Simplify and organize on one side of the equal sign, then you get; c^2-2c-8=0 (c-4)(c+2)=0 Either c=4 or c=-2 => c=4 => E
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Answer E
ReplyDeletemy answer is E
ReplyDeleteE
ReplyDeleteformula for slope; y2-y1/x2-x1
ReplyDelete=> (2c-c^2)/(5-6)=8
Simplify and organize on one side of the equal sign, then you get; c^2-2c-8=0
(c-4)(c+2)=0
Either c=4 or c=-2
=> c=4 => E