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Determine whether Q(2,3), R(-1,1) and S(-4,-2) lie on the same line that passes through (-2,-2) and (4,0)

Derd

by Derd at November 02, 2010

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The slope of the line passing through (-2,-2) and (4,0) is (-2 - 0)/(-2 - 4) = -2/-6 = 1/3.The slope of the line passing through Q and R is (1 - 3)/(-1 - 2) = -2/-3 = 2/3.Thus, it is impossible for these points to be on the same line.Similarly, the point S(-4,-2) is two units to the left of (-2,-2), and a line passing through them would have a slope of 0.

Bill201 Bill201 November 03, 2010

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They are inconsistent and therefore not on the same line.

yankeekid yankeekid November 03, 2010

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