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:

$(-2,\ -6);\ (0,\ 0)$

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

$m=\dfrac{0-(-6)}{0-(-2)}=\dfrac{6}{2}=3\\\\y-0=3(x-0)\\\\y=3x$

Answer:

$f(x)=3x$