document.write( "Question 101133: when trying to find a function you put in 2,5,4,3,and get out 4,13,10,7.
\n" ); document.write( "What is the function is it that I am trying to find? and what is the answer in the form of x>>something.
\n" ); document.write( "

Algebra.Com's Answer #73616 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
when trying to find a function you put in 2,5,4,3,and get out 4,13,10,7.
\n" ); document.write( "What is the function is it that I am trying to find? and what is the answer in the form of x>>something.
\n" ); document.write( "-------------------------------
\n" ); document.write( "That can be rearranged as follows:
\n" ); document.write( "x:... 2,3,.4,.5
\n" ); document.write( "f(x): 4,7,10,13
\n" ); document.write( "---------------
\n" ); document.write( "Since there is a constant difference in the f(x) line you know
\n" ); document.write( "the eqution you are looking for is linear, i.e. y = mx+b
\n" ); document.write( "------------
\n" ); document.write( "So substitute two of the x,f(x) points into that linear form to get:
\n" ); document.write( "4 = 2m + b
\n" ); document.write( "13= 5m + b
\n" ); document.write( "--------------
\n" ); document.write( "Subtract the 1st from the 2nd to get:
\n" ); document.write( "9 = 3m
\n" ); document.write( "m = 3
\n" ); document.write( "----------
\n" ); document.write( "Substitute that into 4 = 2m + b to solve for \"b\":
\n" ); document.write( "4 = 2*3 + b
\n" ); document.write( "b = -2
\n" ); document.write( "-------------
\n" ); document.write( "So the equation you want is y = 3x -2
\n" ); document.write( "==================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );