document.write( "Question 971194: What are the coordinates of the point on the directed line segment from K(-7,4) to L(8,1) that partitions the segment into a ratio of 3 to 2?\r
\n" ); document.write( "\n" ); document.write( "A. (3,2)
\n" ); document.write( "B. (2,-1)
\n" ); document.write( "C. (0,-3/2)
\n" ); document.write( "D. (-1,-2)
\n" ); document.write( "

Algebra.Com's Answer #594632 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
So one length would be 3x and the other 2x for a total length of 5x.
\n" ); document.write( "So from K the distance would be 3/5 of the total.
\n" ); document.write( "The x distance from K to L is,
\n" ); document.write( "\"8-%28-7%29=15\"
\n" ); document.write( "So from K to the point, P, is,
\n" ); document.write( "\"P%5Bx%5D=-7%2B%283%2F5%29%2815%29=-7%2B9=2\"
\n" ); document.write( "The y distance from K to L is,
\n" ); document.write( "\"1-4=-3\"
\n" ); document.write( "So from K to the point, P,
\n" ); document.write( "\"P%5By%5D=4%2B%28-3%29%283%2F5%29=4-9%2F5=20%2F5-9%2F5=11%2F5\"
\n" ); document.write( "The point P is (\"2\",\"11%2F5\"), which is not one of the choices.
\n" ); document.write( "
\n" ); document.write( "
\n" );