document.write( "Question 708756: Write the equation for the following relation.\r
\n" ); document.write( "\n" ); document.write( "R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .}\r
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Algebra.Com's Answer #436384 by KMST(5328)\"\" \"About 
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From one point to the next x increases by 4, while y increases by 2.
\n" ); document.write( "So, it's a linear equation/relation/function, with a slope of \"1%2F2\" for y as a function of x.
\n" ); document.write( "The equation would be \"y=%281%2F2%29x%2Bb\".
\n" ); document.write( "Substituting the coordinates of point (4, 5)
\n" ); document.write( "\"5=%281%2F2%29%284%29%2Bb\"--> \"5=2%2Bb\" --> \"b=5-2\" --> \"b=3\"
\n" ); document.write( "So the equation could be \"y=%281%2F2%29x%2B3\" or any of the infinity of equivalent equations,
\n" ); document.write( "like \"2y=x%2B6\" (obtained by multiplying both sides times 2).
\n" ); document.write( "or \"2y-x=6\", or \"x-2y%2B6=0\", or \"x=2y-6\".
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