document.write( "Question 763306: Suppose f(x) is a linear function with slope 2 and f(1) = 3. Find f(2). \n" ); document.write( "
Algebra.Com's Answer #464685 by ramkikk66(644)![]() ![]() ![]() You can put this solution on YOUR website! Slope of the line is 2. \n" ); document.write( "Since f(1) = 3, (1,3) is a point on the line.\r \n" ); document.write( "\n" ); document.write( "The equation for a line with slope m and which has a point (x1,y1) is\r \n" ); document.write( "\n" ); document.write( "(y - y1) = m(x - x1)\r \n" ); document.write( "\n" ); document.write( "Substituting for m, x1 and y1\r \n" ); document.write( "\n" ); document.write( "(y - 3) = 2(x - 1)\r \n" ); document.write( "\n" ); document.write( "y - 3 = 2x - 2 or y = 2x + 1\r \n" ); document.write( "\n" ); document.write( "f(x) = 2x + 1\r \n" ); document.write( "\n" ); document.write( "So f(2) = 2*2 + 1 = 5\r \n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( " \n" ); document.write( " |