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 #838959 by Edwin McCravy(20060)  You can put this solution on YOUR website! \r\n" );
document.write( "The first two tutors did it by slopes and showing they are points on the same\r\n" );
document.write( "line. Those are valid methods, but the method asked for here is how to do it\r\n" );
document.write( "by addition of line segments.\r\n" );
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document.write( "We use the distance formula to find the length of the line segment from a(-3,0)\r\n" );
document.write( "to b(-1,-1)\r\n" );
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document.write( "Now we use the distance formula also to find the length of the line segment\r\n" );
document.write( "from the point b(-1,-1) to c(5,-4)\r\n" );
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document.write( "Now we find the length of the line segment from a(-3,0) to c(5,-4) to see if the\r\n" );
document.write( "sum of those two segments equals to this total length.\r\n" );
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document.write( "And we see that the sum of the two shorter line segments equal to the whole\r\n" );
document.write( "longest line segment:\r\n" );
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document.write( "That proves that all three points lie on the same line.\r\n" );
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document.write( "Edwin \n" );
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