document.write( "Question 1054586: Find the coordinates of the point dividing the line segment joining the points (26, 10) and (-1, 14) in the ratio 2: 9. \n" ); document.write( "

Algebra.Com's Answer #669902 by Fombitz(32388) $\"\"$ $\"About$

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Calculate the x-distance,
\n" ); document.write( " $\"x=-1-26=-27\"$
\n" ); document.write( "Divide by $\"2%2B9=11\"$ to get the individual step in x.
\n" ); document.write( " $\"dx=-27%2F11\"$
\n" ); document.write( "To get from x=26 to the point, take two x steps starting at x=26.
\n" ); document.write( " $\"x%5Bp%5D=26%2B2%28-27%2F11%29=26-54%2F11=289%2F11-54%2F11=232%2F11\"$
\n" ); document.write( "Same process with y.
\n" ); document.write( "Calculate the y-distance,
\n" ); document.write( " $\"y=14-10=4\"$
\n" ); document.write( "Divide by $\"11\"$ to get the individual step in y.
\n" ); document.write( " $\"dy=4%2F11\"$
\n" ); document.write( "To get from y=10 to the point, take two y steps starting at y=10.
\n" ); document.write( " $\"y%5Bp%5D=10%2B2%284%2F11%29=110%2F11%2B8%2F11=118%2F11\"$
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\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "( $\"232%2F11\"$ , $\"118%2F11\"$ ) \n" ); document.write( "

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