document.write( "Question 925366: find the distance between the points (-5,-3) and (7,6)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #561465 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: Distance Formula

\n" ); document.write( "
\n" ); document.write( " The first point is (x1,y1). The second point is (x2,y2)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Since the first point is (-5, -3), we can say (x1, y1) = (-5, -3)
\n" ); document.write( " So \"x%5B1%5D+=+-5\", \"y%5B1%5D+=+-3\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Since the second point is (7, 6), we can also say (x2, y2) = (7, 6)
\n" ); document.write( " So \"x%5B2%5D+=+7\", \"y%5B2%5D+=+6\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Put this all together to get: \"x%5B1%5D+=+-5\", \"y%5B1%5D+=+-3\", \"x%5B2%5D+=+7\", and \"y%5B2%5D+=+6\"
\n" ); document.write( "
\n" ); document.write( " --------------------------------------------------------------------------------------------
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " Now use the distance formula to find the distance between the two points (-5, -3) and (7, 6)
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"d+=+sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2+%2B+%28y%5B1%5D+-+y%5B2%5D%29%5E2%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"d+=+sqrt%28%28-5+-+7%29%5E2+%2B+%28-3+-+6%29%5E2%29\" Plug in \"x%5B1%5D+=+-5\", \"y%5B1%5D+=+-3\", \"x%5B2%5D+=+7\", and \"y%5B2%5D+=+6\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"d+=+sqrt%28%28-12%29%5E2+%2B+%28-9%29%5E2%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"d+=+sqrt%28144+%2B+81%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"d+=+sqrt%28225%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " \"d+=+15\"
\n" ); document.write( "
\n" ); document.write( " ==========================================================
\n" ); document.write( "
\n" ); document.write( " Answer:
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( " The distance between the two points (-5, -3) and (7, 6) is exactly 15 units
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );