document.write( "Question 819373: find the trisection points of the line joining (-6,2) and (3,8). \n" ); document.write( "
Algebra.Com's Answer #493060 by josgarithmetic(39620)\"\" \"About 
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Find equation for the line:
\n" ); document.write( "\"y=mx%2Bb\"
\n" ); document.write( "\"b=y-mx\"
\n" ); document.write( "\"b=y-%28%288-2%29%2F%283-%28-6%29%29%29x\"
\n" ); document.write( "\"b=y-%282%2F3%29x\"
\n" ); document.write( "Pick either point: (3,8),
\n" ); document.write( "\"b=8-%282%2F3%29%2A3\"
\n" ); document.write( "\"b=6\"
\n" ); document.write( "Equation is \"y=%282%2F3%29x%2B6\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Distance between the two points:
\n" ); document.write( "Using Distance Formula,
\n" ); document.write( "\"sqrt%28%288-2%29%5E2%2B%283-%28-6%29%29%5E2%29=sqrt%2836%2B81%29\"
\n" ); document.write( "\"sqrt%28117%29\"
\n" ); document.write( "\"3%2Asqrt%2813%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You want a point (x,y) which is distance sqrt(13) away from (-6,2), and another point which is 2*sqrt(13) from (-6,2). Use distance formula.
\n" ); document.write( "Your unknown points begin as (x, (2/3)x+6 ), and you must take results for which \"x%3E-6\" and \"y%3E2\".\r
\n" ); document.write( "\n" ); document.write( "'
\n" ); document.write( "continuing this way,
\n" ); document.write( "\"sqrt%28%28x-%28-6%29%29%5E2%2B%282-%28%282%2F3%29x%2B6%29%29%5E2%29=sqrt%2813%29\"
\n" ); document.write( "Solve for x and find the corresponding y....
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