document.write( "Question 475721: Please help me write the equation for the following relations.\r
\n" ); document.write( "\n" ); document.write( "R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .}\r
\n" ); document.write( "\n" ); document.write( "R = {(x, y): (2, 3), (4, 4), (6, 5), (8, 6), . . .}\r
\n" ); document.write( "\n" ); document.write( "Q = {(x, y): (2, 8), (3, 27), (4, 64), (5, 125), . . .}\r
\n" ); document.write( "\n" ); document.write( "P = {(x, y): (1, 0), (2, 4), (3, 8), (4, 12), . . .}
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Algebra.Com's Answer #326218 by stanbon(75887)\"\" \"About 
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Please help me write the equation for the following relations.
\n" ); document.write( "R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .}
\n" ); document.write( "Notice that y increases by 2 when x increases by 4
\n" ); document.write( "slope = 2/4 = 1/2
\n" ); document.write( "Notice that if you decrease x by 4 y will decrease by 2
\n" ); document.write( "So, y-intercept = (0,3)
\n" ); document.write( "Equation: y = (1/2)x+3
\n" ); document.write( "---------------------
\n" ); document.write( "R = {(x, y): (2, 3), (4, 4), (6, 5), (8, 6), . . .}
\n" ); document.write( "slope = 1/2
\n" ); document.write( "y-int: (0,1)
\n" ); document.write( "Equation: y = (1/2)x + 1
\n" ); document.write( "---------------------
\n" ); document.write( "Q = {(x, y): (2, 8), (3, 27), (4, 64), (5, 125), . . .}
\n" ); document.write( "Not a linear relation because y does not increase consistently
\n" ); document.write( "as x increases.
\n" ); document.write( "Equation: y = x^3
\n" ); document.write( "------------------------------
\n" ); document.write( "P = {(x, y): (1, 0), (2, 4), (3, 8), (4, 12), . . .}
\n" ); document.write( "slope = 4
\n" ); document.write( "y-int: -4
\n" ); document.write( "Equation: y = 4x-4
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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