Question

27) A reta, gráfico de uma função afim, passa pelos pontos (-2, -63) e (5, 0). Determine essa função e
calcule f(16).

Answer 1

$\large\boxed{\begin{array}{l}\sf A(-2,-63)~B(5,0)\\\sf m=\dfrac{0-(-63)}{5-(-2)}\\\sf m=\dfrac{0+63}{5+2}\\\sf m=\dfrac{63}{7}\\\sf m=9\\\sf y=y_0+m(x-x_0)\\\sf y=0+9(x-5)\\\sf y=9x-45\\\sf f(x)=9x-45\\\sf f(16)=9\cdot16-45\\\sf f(16)=144-45\\\sf f(16)=99\end{array}}$