document.write( "Question 536572: what is the function rule for the graph:
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document.write( " x y
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document.write( " 1 20
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document.write( " 2 16
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document.write( " 3 12
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document.write( " 4 8\r
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document.write( "? \n" );
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Algebra.Com's Answer #352448 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! As x increases by 1 each time, y decreases by 4 each time.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the slope is -4/1 = -4, telling us that m = -4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the equation y = mx+b then becomes y = -4x+b\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, when x = 1, y = 20. Plug this in to get 20 = -4(1)+b\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "and solve for b to get: b = 24\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the equation that models the data is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is a linear equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: alternatively, you can replace 'y' with f(x) to get \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( " |