document.write( "Question 1080183: The segment from (-1,4) to (2,-2) is extended three times its own length. What is the terminal point \n" ); document.write( "

Algebra.Com's Answer #694380 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "Draw a vertical line from (-1,4) down to (-1,-2), the point on a level \r\n" );
document.write( "with (2,-2).  Also draw a horizontal line from there over to (2,-2) to \r\n" );
document.write( "form a right triangle:\r\n" );
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document.write( "Notice that the vertical side of the right triangle is 6 units long and\r\n" );
document.write( "the horizontal line is 3 units long.\r\n" );
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document.write( "Next extend the red vertical line from (-1,-2) to 3 times its length.  \r\n" );
document.write( "It is already 6 units long so we need to extend it twice its length more\r\n" );
document.write( "downward, so that it will be 18 units long.  So we must extend it 12 more \r\n" );
document.write( "units downward to make it 18 units long.  To do that will add -12 to its \r\n" );
document.write( "y-ccordinate, -2.  So we extend the vertical red line down to (-1,-14). \r\n" );
document.write( "Then from there we draw a horizontal line indefinitely long:\r\n" );
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document.write( "Next we extend the black line until it meets the lower horizontal \r\n" );
document.write( "red line:\r\n" );
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document.write( "We need to determine the coordinates for (?,?).  We already know that \r\n" );
document.write( "the y-coordinate is -14. We find the x-coordinate.  By similar triangles.\r\n" );
document.write( "we first find the length of the horizontal side of the big triangle\r\n" );
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document.write( "Multiply both sides by 3.\r\n" );
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document.write( "So the point 9 units to the right of the point (-1,-14) is (8,-14)\r\n" );
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document.write( "Answer:  (8,-14)\r\n" );
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document.write( "Edwin

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