document.write( "Question 120644: 3. Geometry. Floor plans for a building have the four corners of a room located at the
\n" ); document.write( "points (2, 3), (11, 6), (-3, 18), and (8, 21). Determine whether the side through the
\n" ); document.write( "points (2, 3) and (11, 6) is parallel to the side through the points (-3, 18) and (8, 21).
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Algebra.Com's Answer #88437 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
#3\r
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\n" ); document.write( "\n" ); document.write( "First let's find the slope through the points (2, 3) and (11, 6) \r
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Solved by pluggable solver: Finding the slope

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\n" ); document.write( " Slope of the line through the points (2, 3) and (11, 6)
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\n" ); document.write( " \"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"
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\n" ); document.write( " \"m+=+%286+-+3%29%2F%2811+-+2%29\"
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\n" ); document.write( " \"m+=+%283%29%2F%289%29\"
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\n" ); document.write( " \"m+=+1%2F3\"
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\n" ); document.write( " Answer: Slope is \"m+=+1%2F3\"
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\n" ); document.write( "\n" ); document.write( "Now let's find the slope through the points (-3, 18) and (8, 21).\r
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Solved by pluggable solver: Finding the slope

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\n" ); document.write( " Slope of the line through the points (-3, 18) and (8, 21)
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\n" ); document.write( " \"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"
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\n" ); document.write( " \"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+%28x%5B1%5D%29%29\"
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\n" ); document.write( " \"m+=+%2821+-+18%29%2F%288+-+%28-3%29%29\"
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\n" ); document.write( " \"m+=+%2821+-+18%29%2F%288+%2B+3%29\"
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\n" ); document.write( " \"m+=+%283%29%2F%2811%29\"
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\n" ); document.write( " Answer: Slope is \"m+=+3%2F11\"
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\n" ); document.write( "\n" ); document.write( "Since the slope of the line through (2, 3) and (11, 6) is \"m=1%2F3\" and the slope of the line through (-3, 18) and (8, 21) is \"m=3%2F11\" this means the two slopes are not equal. So this means that the two lines are not parallel.\r
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