document.write( "Question 17082: what's the linear function f(4)=3 and f(6)=2 \n" ); document.write( "

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what's the linear function f(4)=3 and f(6)=2
\n" ); document.write( "let the linear function in x be f(x)=ax+b
\n" ); document.write( "f(4)=4a+b=3....(1)
\n" ); document.write( "f(6)=6a+b=2....(2)
\n" ); document.write( "(2)-(1)....6a+b-4a-b=2-3=-1
\n" ); document.write( " 2a=-1 or a=-1/2
\n" ); document.write( "substituting in (1)..we get 4*-1/2+b=3
\n" ); document.write( "-2+b=3 or b=3+2=5
\n" ); document.write( "hence the linear function is f(x)=ax+b = -x/2+5
\n" ); document.write( " \n" ); document.write( "

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