A line passes through (1,1) , (-2,4) , and (6,n) . Find the value of n.

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03-11-2014
Mathematics

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A line passes through (1,1) , (-2,4) , and (6,n) . Find the value of n.

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luana luana · Answer 1 · 2014-11-03T18:30:17-05:00

luana luana

03-11-2014

[tex]General\ formula\ for\ line:\\y=ax+b\\\\ Passes\ through\ (1,1)\ (-2,4)\\\\\left \{ {{1=1a+b\ |\cdot2} \atop {4=-2a+b}} \right. \\\\ \left \{ {{2=2a+2b} \atop {4=-2a+b}} \right. \\+-----\\\\6=3b\ \ |:3\\b=2\\\\1=a+2\\1-2=a\\a=-1\\\\y=-x+2\\\\Passes\ through\ (6,n):\\\\n=-6+2\\\\\boxed{n=-4}[/tex]

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