document.write( "Question 1191934: A line passes through A(-2, 1) and B(3, 4). Find the point P on AB extended through B so that P is twice as far from A as from B. (b) the point Q on AB extended through B so that P is twice as far from B as from A. \n" ); document.write( "

Algebra.Com's Answer #823792 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "A line passes through A(-2, 1) and B(3, 4).
\n" ); document.write( "(a) Find the point P on AB extended through B so that P is twice as far from A as from B.
\n" ); document.write( "(b) the point Q on AB extended through B so that P is twice as far from B as from A.
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document.write( "(a)  From A to B, there are 5 units along x-axis and 3 units along y-axis.\r\n" );
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document.write( "     Hence, to get point P, you should move 5 units along x-axis from B\r\n" );
document.write( "                                        and 3 units along y-axis from B.\r\n" );
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document.write( "     Thus the destination point P is  P = (3+5,4+3) = (8,7).    ANSWER\r\n" );
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document.write( "(b)  Such point Q does not exist.\r\n" );
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document.write( "     (simply because AQ is always longer than BQ).\r\n" );
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