Question

Manuel compares the functions f(x)=-3-5 to the linear function g(x) in the table below. x g(x)2. -36. 58. 99. 11What is the x-value where f(x)=g(x)?

Answer 1

$\begin{gathered} the\text{ slope for g(x) is equal to }\frac{5-(-3)}{6-2}=\frac{8}{4}=2 \\ so\text{ }y+3=2(x-2)\rightarrow g(x)=2x-7 \\ \text{now we have} \\ -3x-5=2x-7 \\ -5x=-2\rightarrow x=\frac{2}{5} \end{gathered}$