document.write( "Question 68464: write an equation for the linear function f satisfying the given conditions
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Algebra.Com's Answer #48712 by Edwin McCravy(20056)\"\" \"About 
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write an equation for the linear function\r\n" );
document.write( "f satisfying the given conditions\r\n" );
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document.write( "1. f(3)=4 and f(0)=9 \r\n" );
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document.write( "Use the slope formula:\r\n" );
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document.write( "     f(x2) - f(x1)\r\n" );
document.write( "m = ———————————————\r\n" );
document.write( "        x2 - x1\r\n" );
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document.write( "where x1 = 3 and x2 = 0\r\n" );
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document.write( "     (9) - (4)      5       5\r\n" );
document.write( "m = ——————————— = ———— = - ——— \r\n" );
document.write( "     (0) - (3)     -3       3 \r\n" );
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document.write( "Now substitute in the point slope formula:\r\n" );
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document.write( "   f(x) - f(x1) = m(x - x1)\r\n" );
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document.write( "                 5 \r\n" );
document.write( "f(x) - f(3) = - ———(x - 3)\r\n" );
document.write( "                 3\r\n" );
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document.write( "                 5 \r\n" );
document.write( "   f(x) - 4 = - ———(x - 3)\r\n" );
document.write( "                 3\r\n" );
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document.write( "Distribute to remove the parentheses:\r\n" );
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document.write( "                 5 \r\n" );
document.write( "   f(x) - 4 = - ———x + 5\r\n" );
document.write( "                 3\r\n" );
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document.write( "Add 4 to both sides:\r\n" );
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document.write( "                 5 \r\n" );
document.write( "       f(x) = - ———x + 9\r\n" );
document.write( "                 3  \r\n" );
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document.write( "2. f(2)=7 and f(8)=1\r\n" );
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document.write( "Use the slope formula:\r\n" );
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document.write( "     f(x2) - f(x1)\r\n" );
document.write( "m = ———————————————\r\n" );
document.write( "        x2 - x1\r\n" );
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document.write( "where x1 = 2 and x2 = 8\r\n" );
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document.write( "     (1) - (7)     -6       \r\n" );
document.write( "m = ——————————— = ———— = -1  \r\n" );
document.write( "     (8) - (2)      6        \r\n" );
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document.write( "Now substitute in the point slope formula:\r\n" );
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document.write( "   f(x) - f(x1) = m(x - x1)\r\n" );
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document.write( "                  \r\n" );
document.write( "f(x) - f(2) = -1(x - 2)\r\n" );
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document.write( "   f(x) - 7 = -1(x - 2)\r\n" );
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document.write( "Distribute to remove the parentheses:\r\n" );
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document.write( "                  \r\n" );
document.write( "   f(x) - 7 = -x + 2\r\n" );
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document.write( "Add 7 to both sides:\r\n" );
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document.write( "       f(x) = -x + 9\r\n" );
document.write( "                   \r\n" );
document.write( "Edwin
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