Question

Dada a função linear f(x) = ax + b, sabendo-se que f(3) = 6 e f (-2) = -3, o valor da taxa de variação dessa função é?​

Answer 1

$\Large\boxed{\begin{array}{l}\sf f(3)=6\implies A(3,6)\\\sf f(-2)=-3\implies B(-2,-3)\\\sf taxa~de~variac_{\!\!,}\tilde ao=a\\\sf a=\dfrac{y_B-y_A}{x_B-x_A}\\\sf a=\dfrac{-3-6}{-2-3}\\\sf a=\dfrac{-9}{-5}\\\sf a=\dfrac{9}{5}\end{array}}$