document.write( "Question 1066355: Point P is on the directed line segment from point X(−6, −2) to point Y(6,7) and divides the segment in the ratio 1:5. What are the coordinates of point P? \n" ); document.write( "

Algebra.Com's Answer #681526 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The point P will be 1/6 of the way from X to Y
\n" ); document.write( "For the X coordinate:
\n" ); document.write( " $\"+1%2F6+=+%28+X%5Bp%5D+-%28-6%29+%29+%2F+%28+6+-%28-6%29+%29+\"$
\n" ); document.write( " $\"+1%2F6+=+%28+X%5Bp%5D+%2B+6+%29+%2F+12+\"$
\n" ); document.write( " $\"+2+=+X%5Bp%5D+%2B+6+\"$
\n" ); document.write( " $\"+X%5Bp%5D+=+-4+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "For the Y coordinate:
\n" ); document.write( " $\"+1%2F6+=+%28+Y%5Bp%5D+-%28-2%29+%29+%2F+%28+7+-%28-2%29+%29+\"$
\n" ); document.write( " $\"+1%2F6+=+%28+Y%5Bp%5D+%2B+2+%29+%2F+9+\"$
\n" ); document.write( "Multiply both sides by $\"+18+\"$
\n" ); document.write( " $\"+3+=+2%2A%28+Y%5Bp%5D+%2B+2+%29+\"$
\n" ); document.write( " $\"+3+=+2Y%5Bp%5D+%2B+4+\"$
\n" ); document.write( " $\"+2Y%5Bp%5D+=+-1+\"$
\n" ); document.write( " $\"+Y%5Bp%5D+=+-1%2F2+\"$
\n" ); document.write( "------------------
\n" ); document.write( "The point P is P( -4, -1/2 )
\n" ); document.write( "Check my math & get another
\n" ); document.write( "opinion if needed
\n" ); document.write( " \n" ); document.write( "

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