document.write( "Question 1079370: Can you help me with this assignment in analytic geometry:\r
\n" ); document.write( "\n" ); document.write( "Find the coordinates of P if it divides the line segment joining A (2,-5) and B ( 6,3)
\n" ); document.write( "So that r1/r2 = ¾.\r
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Algebra.Com's Answer #693689 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I plotted the points on graph paper and called them A and B and drew AB.  \r\n" );
document.write( "I drew the vertical line BC and the horizontal line AC, making right \r\n" );
document.write( "triangle ABC.\r\n" );
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document.write( "I guessed about where the desired point D would be and drew DE parallel\r\n" );
document.write( "to AC.\r\n" );
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document.write( "Counting blocks, I noticed that BC = 8 and AC = 4.\r\n" );
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document.write( "By similar triangles DBE and ABC, \"%22BD%22%2F%22DA%22=%22BE%22%2F%22EC%22=3%2F4\"\r\n" );
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document.write( "BE + EC = BC = 8\r\n" );
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document.write( "EC = 8 - BE\r\n" );
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document.write( "\"%22BE%22%2F%22EC%22=3%2F4\" \r\n" );
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document.write( "\"4%2A%22BE%22=3%2A%22EC%22\"\r\n" );
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document.write( "\"4%2A%22BE%22=3%2A%288-%22BE%22%29\" \r\n" );
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document.write( "\"4%2A%22BE%22=24-3%2A%22BE%22\"\r\n" );
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document.write( "\"7%2A%22BE%22=24\"\r\n" );
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document.write( "\"%22BE%22=24%2F7\"}\r\n" );
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document.write( "E is 24/7 units below B, so its y-coordinate is \r\n" );
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document.write( "\"3-24%2F7=21%2F7-24%2F7=-3%2F7\"\r\n" );
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document.write( "That's also the y-coordinate of D.  We need\r\n" );
document.write( "the x-coordinate of D, so we need to find DE.\r\n" );
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document.write( "By similar triangles DBE and ABC, \r\n" );
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document.write( "\"%22DE%22%2F%22AC%22=%22BE%22%2F%22BC%22\"\r\n" );
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document.write( "\"%22DE%22%2A%22BC%22=%22BE%22%2A%22AC%22\"\r\n" );
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document.write( "\"%22DE%22%2A8=expr%2824%2F7%29%2A4\"\r\n" );
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document.write( "\"%22DE%22%2A8=96%2F7\"  \r\n" );
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document.write( "\"%22DE%22=12%2F7\"\r\n" );
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document.write( "Since D is 12/7 units left of E, which has\r\n" );
document.write( "x-coordinate 6, the x-coordinate of D is\r\n" );
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document.write( "\"6-12%2F7=42%2F7-12%2F7=30%2F7\"\r\n" );
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document.write( "Therefore the answer is\r\n" );
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document.write( "Edwin
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