Question

Use function notation to write the equation of the line

Answer 1

$f(x)+mx+b\to y=mx+b$

We have two points:

$(-4,\ -8);\ (0,\ -4)$

The point slope form of the line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

substitute

$m=\dfrac{-4-(-8)}{0-(-4)}=\dfrac{4}{4}=1\\\\y-(-8)=1(x-(-4))\\\\y+8=x+4\ \ \ |-8\\\\y=x-4$

Answer:

$f(x)=x-4$