document.write( "Question 179107: The points )1,3) (2,5) (8,17) (50,101) and (1000,2001) all lie on line M. The points (1,-1) (2,-3) (8,-15) (50,-99) and (1000,-1999) all lie on line N. Form the equations of both the lines and show your work. \n" ); document.write( "
Algebra.Com's Answer #134054 by Alan3354(69443)\"\" \"About 
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The points (1,3) (2,5) (8,17) (50,101) and (1000,2001) all lie on line M. The points (1,-1) (2,-3) (8,-15) (50,-99) and (1000,-1999) all lie on line N. Form the equations of both the lines and show your work.
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\n" ); document.write( "Only 2 points are needed to define a line. Pick any 2.
\n" ); document.write( "For M use (1,3) and (2,5)
\n" ); document.write( "|x y 1|
\n" ); document.write( "|1 3 1| = 0
\n" ); document.write( "|2 5 1|
\n" ); document.write( "x*(3-5) - y*(1-2) + 5-6 = 0
\n" ); document.write( "-2x + y -1 = 0
\n" ); document.write( "2x-y = -1
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\n" ); document.write( "For N use (1,-1) and (2,-3)
\n" ); document.write( "|x y 1|
\n" ); document.write( "|1 -1 1| = 0
\n" ); document.write( "|2 -3 1|
\n" ); document.write( "x*(-1+3) - y*(1-2) + -3 + 2 = 0
\n" ); document.write( "2x + y = 1\r
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