document.write( "Question 72826: The graph of a function F(x)=mx + b contains the points (5,15) and (-3,-5). Find b. \n" ); document.write( "
Algebra.Com's Answer #52242 by rmromero(383)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "The graph of a function F(x)=mx + b contains the points (5,15) and (-3,-5). Find b.\r
\n" ); document.write( "\n" ); document.write( "Formula for slope (m)\r
\n" ); document.write( "\n" ); document.write( " \"y%5B2%5D+-+y%5B1%5D\"
\n" ); document.write( " m = __________
\n" ); document.write( " \"x%5B2%5D+-+x%5B1%5D\"\r
\n" ); document.write( "\n" ); document.write( "(\"x%5B1%5D\",\"y%5B1%5D\") = (5, 15)\r
\n" ); document.write( "\n" ); document.write( "(\"x%5B2%5D\",\"y%5B2%5D\") = (-3, -5)\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " -5 - 15
\n" ); document.write( " m = __________
\n" ); document.write( " -3 - 5\r
\n" ); document.write( "\n" ); document.write( " -20 5
\n" ); document.write( " = ______ or ___
\n" ); document.write( " - 8 2\r
\n" ); document.write( "\n" ); document.write( "To find the f(x),\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " F(x) = mx + b , m = 5/2, (x, y) = (5, 15)\r
\n" ); document.write( "\n" ); document.write( " 15 = (5/2)(5) + b
\n" ); document.write( " 15 = 25/2 + b
\n" ); document.write( " 15 - 25/2 = b
\n" ); document.write( " 30/2 - 25/2 = b
\n" ); document.write( " 5/2 = b
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( " F(x) = (5/2)x + 5/2\r
\n" ); document.write( "\n" ); document.write( "The graph looks like this\r
\n" ); document.write( "\n" ); document.write( "\"graph+%28200%2C+200%2C+-3%2C+5%2C+-4%2C+7%2C+%285%2F2%29x+%2B+5%2F2%29\" \n" ); document.write( "
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