document.write( "Question 964639: A line passes through A(1,1) and B(4,3). Find the coordinates of the point on the line which is 3 times as far from A s from B. \n" ); document.write( "

Algebra.Com's Answer #589476 by Fombitz(32388) $\"\"$ $\"About$

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In the x-direction, the distance from A to B is $\"4-1=3\"$ .
\n" ); document.write( "If the distance from A to point P is equal to 3x, the distance from P to B is equal to x.
\n" ); document.write( "Then the distance from A to B would be $\"3x%2Bx=4x\"$
\n" ); document.write( " $\"4x=3\"$
\n" ); document.write( " $\"x=3%2F4\"$
\n" ); document.write( "So then starting at A,
\n" ); document.write( " $\"P%5Bx%5D=1%2B3%283%2F4%29\"$
\n" ); document.write( " $\"P%5Bx%5D=1%2B9%2F4\"$
\n" ); document.write( " $\"P%5Bx%5D=13%2F4\"$
\n" ); document.write( "Similarly for y, the y distance is $\"3-1=2\"$
\n" ); document.write( " $\"4y=2\"$
\n" ); document.write( " $\"y=1%2F2\"$
\n" ); document.write( "Again starting at A,
\n" ); document.write( " $\"P%5By%5D=1%2B3%281%2F2%29\"$
\n" ); document.write( " $\"P%5By%5D=1%2B3%2F2\"$
\n" ); document.write( " $\"P%5By%5D=5%2F2\"$
\n" ); document.write( "( $\"13%2F4\"$ , $\"5%2F2\"$ )\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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