document.write( "Question 1012383: The segment joining F(-6,11) and G(3,4)is divided into four equal parts. Find the points of division. How can I find the points? Please explain in a detailed way because I really want to understand the lesson!! Thank you! \n" ); document.write( "
Algebra.Com's Answer #628287 by macston(5194)\"\" \"About 
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\n" ); document.write( "F=(-6,11); G=(3,4)
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\n" ); document.write( "The x distance between F and G is
\n" ); document.write( "\"x%5BG%5D-x%5BF%5D=3-%28-6%29\"=\"9\"
\n" ); document.write( "The y distance between F and G is
\n" ); document.write( "\"y%5BG%5D-y%5BF%5D=4-11\"=\"-7\"
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\n" ); document.write( "Since we want 4 equal parts, we divide the distance by 4:
\n" ); document.write( "x distance: 9/4
\n" ); document.write( "y distance: -7/4
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\n" ); document.write( "Now starting at Point F, we want to move 9/4 in the x direction
\n" ); document.write( "and -7/4 in the y direction (call this point A, end of first quarter):
\n" ); document.write( "A=( -6+(9/4) , 11+(-7/4) )
\n" ); document.write( "A=( -15/4 , 37/4 }
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\n" ); document.write( "From Point A, we move the same distance to point B (from F, halfway to G):
\n" ); document.write( "B=( (-15/4)+(9/4) , (37/4)+(-7/4) )
\n" ); document.write( "B=( -6/4 , 30/4 )
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\n" ); document.write( "From point B to point C (from F to C is three quarters):
\n" ); document.write( "C=( (-6/4)+(9/4) , (30/4)+(-7/4) )
\n" ); document.write( "C=( 3/4 , 23/4 )
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\n" ); document.write( "The four segments are:
\n" ); document.write( "F to A . (-6,11) to (-3 3/4, 9 1/4)
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\n" ); document.write( "A to B . (-3 3/4, 9 1/4) to (-1 1/2, 7 1/2)
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\n" ); document.write( "B to C . (-1 1/2, 7 1/2) to (3/4, 5 3/4)
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\n" ); document.write( "C to G . (3/4, 5 3/4) to (3,4)\r
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