document.write( "Question 267616: f is a linear function.\r
\n" );
document.write( "\n" );
document.write( "1.)\r
\n" );
document.write( "\n" );
document.write( "If f(2) = 10 and f(10) = -2, find f(-10) and f(100)\r
\n" );
document.write( "\n" );
document.write( "I really have no idea what to do.Help?
\n" );
document.write( "Thank You! \n" );
document.write( "
Algebra.Com's Answer #196338 by stanbon(75887) ![]() You can put this solution on YOUR website! f is a linear function. \r \n" ); document.write( "\n" ); document.write( "If f(2) = 10 \n" ); document.write( " f(10) = -2 \n" ); document.write( "------------------ \n" ); document.write( "slope = (10--2)/(2-10) = 12/-8 = -3/2 \n" ); document.write( "-------------- \n" ); document.write( "Form: y = mx + b \n" ); document.write( "You know m = -3/2 and y = 10 when x = 2. \n" ); document.write( "Solve for \"b\": \n" ); document.write( "10 = (-3/2)2 + b \n" ); document.write( "b = 13 \n" ); document.write( "----------------- \n" ); document.write( "Equation: \n" ); document.write( "f(x) = (-3/2)x + 13 \n" ); document.write( "-----------------------\r \n" ); document.write( "\n" ); document.write( "find f(-10) = (-3/2)(-10) + 13 = 28 \n" ); document.write( "and f(100) = (-3/2)(100) + 13 = -150 + 13 = -137 \n" ); document.write( "================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------------------------- \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |