document.write( "Question 1127185: A line segmemt has 2 end points M(3,7) and N (11,-6). find coordinates of point W that lies in yaxis such that W is equidistant (same distance) from M and from N \n" ); document.write( "

Algebra.Com's Answer #743539 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
M( 3,7 )
\n" ); document.write( "N( 11, -6 )
\n" ); document.write( "Point W is on the y-axis, so the point is
\n" ); document.write( "( 0, y )
\n" ); document.write( "The distance squared from M to W is:
\n" ); document.write( " $\"+%28+0+-+3+%29%5E2+%2B+%28+y+-+7+%29%5E2+\"$
\n" ); document.write( "The distance squared from N to W is:
\n" ); document.write( " $\"+%28+0+-+11+%29%5E2+%2B+%28+y+-%28-6%29+%29%5E2+\"$
\n" ); document.write( "------------------------------------
\n" ); document.write( "Set the distances equal to each other
\n" ); document.write( " $\"+%28-3%29%5E2+%2B+%28+y+-+7+%29%5E2+=+%28-11%29%5E2+%2B+%28+y+%2B+6+%29%5E2+\"$
\n" ); document.write( " $\"+%28+y+-+7+%29%5E2+-+%28+y+%2B+6+%29%5E2+=+%28-11%29%5E2+-+%28-3%29%5E2+\"$
\n" ); document.write( " $\"+y%5E2+-+14y+%2B+49+-+y%5E2+-+12y+-+36+=+121+-+9+\"$
\n" ); document.write( " $\"+-26y+%2B+13+=+112+\"$
\n" ); document.write( " $\"+-26y+=+99+\"$
\n" ); document.write( " $\"+y+=+-99%2F26+\"$
\n" ); document.write( "the point is:
\n" ); document.write( "( 0, -99/26 )
\n" ); document.write( "--------------------
\n" ); document.write( "check the math. you can plug result
\n" ); document.write( "back into equation \n" ); document.write( "

\n" );