document.write( "Question 883804: Find the coordinates of a point P if P is one unit from Q(-5,-12) along the line from the origin to Q \n" ); document.write( "

Algebra.Com's Answer #533782 by Edwin McCravy(20059) $\"\"$ $\"About$

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document.write( "Draw vertical lines from the known, Q, and unknown, P, points to the x-axis:\r\n" );
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document.write( "There are two similar right triangles.  The line from the origin to Q(-5,-12)\r\n" );
document.write( "is the hypotenuse of the large right triangle.  We find it by the Pythagorean\r\n" );
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document.write( "We want the hypotenuse of the smaller right triangle to be 1.\r\n" );
document.write( "The line from the origin to P(x,y) is the hypotenuse of the small right\r\n" );
document.write( "triangle, and we set it to equal 1.\r\n" );
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document.write( "So the coordinates of the point that is 1 unit along the line is\r\n" );
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document.write( "P(x,y) = \r\n" );
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document.write( "Edwin

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