document.write( "Question 936165: The line segment joining points A(4,6) and B(-1,-2) is extended through A by three times its original length. Find the coordinates of the new endpoint.
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Algebra.Com's Answer #569602 by TimothyLamb(4379) $\"\"$ $\"About$

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slope = m = dy/dx
\n" ); document.write( "m = (6+2)/(4+1)
\n" ); document.write( "m = 8/5
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\n" ); document.write( "3m = 24/15
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\n" ); document.write( "new point C, extended through A(4,6):
\n" ); document.write( "C = (4+15,6+24)
\n" ); document.write( "C = (19,30)
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\n" ); document.write( "check:
\n" ); document.write( "m = (30-6)/(19-4)
\n" ); document.write( "m = 24/15
\n" ); document.write( "m = (8*3)/(5*3)
\n" ); document.write( "m = 8/5
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\n" ); document.write( "answer:
\n" ); document.write( "C(19,30)
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