document.write( "Question 1203418: solve by addition of line segments show whether the points a(-3,0), b(-1,-1) and c(5,-4) lie on a straight line.\r
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Algebra.Com's Answer #838958 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "I'm not sure why the other tutors have a problem with \"addition of line segments\".

\n" ); document.write( "The three points are collinear if (and only if) the length of AC is the sum of the lengths of AB and BC.

\n" ); document.write( "AB: \"sqrt%282%5E2%2B1%5E2%29=sqrt%285%29\"

\n" ); document.write( "BC: \"sqrt%286%5E2%2B3%5E2%29=sqrt%2845%29=3sqrt%285%29\"

\n" ); document.write( "AC: \"sqrt%288%5E2%2B4%5E2%29=sqrt%2880%29=4sqrt%285%29\"

\n" ); document.write( "\"AB%2BBC=sqrt%285%29%2B3sqrt%285%29=4sqrt%285%29=AC\"

\n" ); document.write( "The three points are collinear.

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