document.write( "Question 714836: M(6, 6) is the midpoint of . The coordinates of S are (8, 9). What are the coordinates of R? \n" ); document.write( "
Algebra.Com's Answer #439010 by MathLover1(20850)\"\" \"About 
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gien: \"M\"(\"6\", \"6\") is the midpoint of \"SR\"\r
\n" ); document.write( "\n" ); document.write( "the coordinates of \"S\" are (\"8\", \"9\")\r
\n" ); document.write( "\n" ); document.write( "find: the coordinates of \"R\"\r
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\n" ); document.write( "\n" ); document.write( "The midpoint \r
\n" ); document.write( "\n" ); document.write( "\"M+\" coordinates are: (\"x\", \"y\")= (\"%28x1%2Bx2%29%2F2\",\"%28y1%2By2%29%2F2\")\r
\n" ); document.write( "\n" ); document.write( "plug in given coordinates of the midpoint which are (\"6\", \"6\") and also a point \"S\" to be (\"8\", \"9\")\r
\n" ); document.write( "\n" ); document.write( "(\"6\", \"6\")= (\"%28x1%2B8%29%2F2\",\"%28y1%2B9%29%2F2\")\r
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\n" ); document.write( "\n" ); document.write( "We now equate \"%28x+%2B+8%29%2F2\" to \"6\" and solve for \"x\" and then we equate \"%28y+%2B+9%29%2F2\" to \"6\" and solve for \"y\".\r
\n" ); document.write( "\n" ); document.write( "\"%28x+%2B+8%29%2F2+=+6\"......multiply both sides by \"2\"\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+8+=+6%2A2\"\r
\n" ); document.write( "\n" ); document.write( "\"x+%2B+8+=+12\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+12+-+8\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+4\"\r
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\n" ); document.write( "\n" ); document.write( "now we do the same for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"%28y+%2B+9%29%2F2+=+6\"\r
\n" ); document.write( "\n" ); document.write( "\"y+%2B+9+=+6%2A2\"\r
\n" ); document.write( "\n" ); document.write( "\"y+%2B+9+=+12\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+12+-+9\"\r
\n" ); document.write( "\n" ); document.write( "\"y+=+3\"\r
\n" ); document.write( "\n" ); document.write( "so, the coordinates of point \"R\" are (\"4\", \"3\")\r
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\n" ); document.write( "\n" ); document.write( "check:\r
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Solved by pluggable solver: Midpoint

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\n" ); document.write( " The first point is (x1,y1). The second point is (x2,y2)
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\n" ); document.write( " Since the first point is (4, 3), we can say (x1, y1) = (4, 3)
\n" ); document.write( " So \"x%5B1%5D+=+4\", \"y%5B1%5D+=+3\"
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\n" ); document.write( " Since the second point is (8, 9), we can also say (x2, y2) = (8, 9)
\n" ); document.write( " So \"x%5B2%5D+=+8\", \"y%5B2%5D+=+9\"
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\n" ); document.write( " Put this all together to get: \"x%5B1%5D+=+4\", \"y%5B1%5D+=+3\", \"x%5B2%5D+=+8\", and \"y%5B2%5D+=+9\"
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\n" ); document.write( " Finding the x coordinate of the midpoint: Add up the corresponding x coordinates x1 and x2 and divide that sum by 2
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\n" ); document.write( " X Coordinate of Midpoint = \"%28x%5B1%5D%2Bx%5B2%5D%29%2F2\"
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\n" ); document.write( " X Coordinate of Midpoint = \"%284%2B8%29%2F2\"
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\n" ); document.write( " X Coordinate of Midpoint = \"12%2F2\"
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\n" ); document.write( " X Coordinate of Midpoint = \"6\"
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\n" ); document.write( " So the x coordinate of the midpoint is 6
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\n" ); document.write( " Finding the y coordinate of the midpoint: Add up the corresponding y coordinates y1 and y2 and divide that sum by 2
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\n" ); document.write( " Y Coordinate of Midpoint = \"%28y%5B1%5D%2By%5B2%5D%29%2F2\"
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\n" ); document.write( " Y Coordinate of Midpoint = \"%283%2B9%29%2F2\"
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\n" ); document.write( " Y Coordinate of Midpoint = \"12%2F2\"
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\n" ); document.write( " Y Coordinate of Midpoint = \"6\"
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\n" ); document.write( " So the y coordinate of the midpoint is 6
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\n" ); document.write( " Summary:
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\n" ); document.write( " The midpoint of the segment joining the two points (4, 3) and (8, 9) is (6, 6).
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\n" ); document.write( " So the answer is (6, 6)
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