Question

considere a equação da reta y=5x+3

A)determine o coeficiente linear
B)determine o coeficiente angular
C) se a função é crescente ou decrescente ​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm func_{\!\!,}\tilde ao~de~1^o~grau}\\\sf \acute E~toda~func_{\!\!,}\tilde ao~que~assume~a~forma\\\sf y=ax+b,onde~a,b\in\mathbb{R},a\ne0\\\sf a\longrightarrow coeficiente~angular\\\sf b\longrightarrow coeficiente~linear\\\underline{\rm crescimento~e~decrescimento}\\\underline{\rm da~func_{\!\!,}\tilde ao~de~1^o~grau}\\\sf se~a>0\implies func_{\!\!,}\tilde ao~crescente\\\sf se~a<0\implies func_{\!\!,}\tilde ao~decrescente\end{array}}$

$\large\boxed{\begin{array}{l}\sf y=5x+3\\\sf a=5~~b=3\\\tt a)~\sf coeficiente~linear:3\\\tt b)~\sf coeficiente~angular: 5\\\tt c)~\sf como~a=5>0\implies a~func_{\!\!,}\tilde ao~\acute e~crescente.\end{array}}$