document.write( "Question 1008389: find the coordinates of the point which divides the line segment from (-1,4) to (2,-3) in to ratio of 3 to 4 (two solutions) \n" ); document.write( "

Algebra.Com's Answer #853919 by ikleyn(53742) $\"\"$ $\"About$

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\n" ); document.write( "find the coordinates of the point which divides the line segment from (-1,4) to (2,-3) in to ratio of 3 to 4
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\n" ); document.write( "\n" ); document.write( "        Calculations and the answer in the post by @mananth are totally and fatally incorrect.\r
\n" ); document.write( "\n" ); document.write( "        His formulas are conceptually and methodically incorrect; \r
\n" ); document.write( "\n" ); document.write( "        his calculations are partly incorrect and partly incomplete.\r
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\n" ); document.write( "\n" ); document.write( "        Below is my correct solution.\r
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document.write( "The points are  A = (x1,y1) = (-1,4) and B = (x2,y2) = (2,-3).\r\n" );
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document.write( "Ratio of division is  m:n = 3:4.\r\n" );
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document.write( "If to interpret the ratio 3:4 as starting from A to B,\r\n" );
document.write( "then the coordinates of the point which divides the given segment are\r\n" );
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document.write( "    x =  =  = ,\r\n" );
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document.write( "    y =  =  =  = 1,\r\n" );
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document.write( "If to interpret the ratio 3:4 as starting from B to A,\r\n" );
document.write( "then the coordinates of the point which divides the given segment are\r\n" );
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document.write( "    x =  =  = ,\r\n" );
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document.write( "    y =  =  = .\r\n" );
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document.write( "ANSWER.  If to count the ratio 3:4 from A to B, then the division point is  (,).\r\n" );
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document.write( "         If to count the ratio 3:4 from B to A, then the division point is  (,).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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