list of points for start of string (s) and end (t)
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Expression 12: "s" equals left bracket, 1 times "a" , 2 times "a" , ... , "n" times "a" , right brackets=1·a,2·a,...,n·a
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Expression 13: "t" equals left bracket, 1 times "b" , 2 times "b" , ... , "n" times "b" , right brackett=1·b,2·b,...,n·b
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equation for each line using lists
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Expression 15: "y" equals "m" left parenthesis, "x" minus "x" Subscript, 1 , Baseline , right parenthesis plus "y" Subscript, 1 , Baseliney=mx−x1+y1
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using lists to find start and end points of the lines and slopes
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Expression 17: "x" Subscript, 1 , Baseline equals "r" times sine left parenthesis, StartFraction, 2 pi Over "n" , EndFraction times "s" , right parenthesisx1=r·sin2πn·s
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Expression 18: "y" Subscript, 1 , Baseline equals "r" times cosine left parenthesis, StartFraction, 2 pi Over "n" , EndFraction times "s" , right parenthesisy1=r·cos2πn·s
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Expression 19: "x" Subscript, 2 , Baseline equals "r" times sine left parenthesis, StartFraction, 2 pi Over "n" , EndFraction times "t" , right parenthesisx2=r·sin2πn·t
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Expression 20: "y" Subscript, 2 , Baseline equals "r" times cosine left parenthesis, StartFraction, 2 pi Over "n" , EndFraction times "t" , right parenthesisy2=r·cos2πn·t
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Expression 21: "m" equals StartFraction, left parenthesis, "y" Subscript, 2 , Baseline minus "y" Subscript, 1 , Baseline , right parenthesis Over left parenthesis, "x" Subscript, 2 , Baseline minus "x" Subscript, 1 , Baseline , right parenthesis , EndFractionm=y2−y1x2−x1