document.write( "Question 148520: If M(-5,2)is the midpoint of segment PQ and the coordinates of P are (-6,8) find the coordinates of Q. Select the correct answer.\r
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Algebra.Com's Answer #108848 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "If M(-5,2)is the midpoint of segment PQ and the coordinates of P are (-6,8) find the coordinates of Q. Select the correct answer.\r
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\n" ); document.write( "\n" ); document.write( "Since M(-5,2)is the midpoint, this means that the midpoint coordinates are \"x=-5\" and \"y=2\"\r
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\n" ); document.write( "\n" ); document.write( "So the formula for the midpoint of the x-coordinate is:\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5B1%5D%2Bx%5B2%5D%29%2F2=x%5Bmid%5D\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28-6%2Bx%5B2%5D%29%2F2=-5\" Plug in \"x%5Bmid%5D=-5\" and \"x%5B1%5D=-6\" (this is from point P). Note: \"x%5B2%5D\" is the x-coordinate for the point Q\r
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\n" ); document.write( "\n" ); document.write( "\"-6%2Bx%5B2%5D=-10\" Multiply both sides by 2.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=-4\" Add 6 to both sides.\r
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\n" ); document.write( "\n" ); document.write( "So the x-coordinate for point Q is \"x=-4\"\r
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\n" ); document.write( "\n" ); document.write( "Now the formula for the midpoint of the y-coordinate is:\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%5B1%5D%2By%5B2%5D%29%2F2=y%5Bmid%5D\"\r
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\n" ); document.write( "\n" ); document.write( "\"%288%2By%5B2%5D%29%2F2=2\" Plug in \"y%5Bmid%5D=2\" and \"y%5B1%5D=8\" (this is from point P). Note: \"y%5B2%5D\" is the y-coordinate for the point Q\r
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\n" ); document.write( "\n" ); document.write( "\"8%2By%5B2%5D=4\" Multiply both sides by 2.\r
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\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=-4\" Subtract 8 from both sides.\r
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\n" ); document.write( "\n" ); document.write( "So the y-coordinate for point Q is \"y=-4\"\r
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\n" ); document.write( "\n" ); document.write( "So the point Q is (-4,-4)\r
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