Question

Sabendo que f(x) = mx +n , determine os valores de m e n , sabendo que f(1)=5 e f(-1)=7

Answer 1

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$\sf{f(1)=m\cdot1+n\implies m+n=5}\\\sf{f(-1)=m\cdot(-1)+n\implies -m+n=7}$

$+\underline{\begin{cases}\sf{\diagdown\!\!\!m+n=5}\\\sf{-\diagdown\!\!\!m+n=7}\end{cases}}\\\sf{2n=12}\\\sf{n=\dfrac{12}{2}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{n=6}}}}}\\\sf{m+n=5}\\\sf{m+6=5}\\\sf{m=5-6}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{m=-1}}}}}$