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=(y_2-y_1)/(x_2-x_1)`

substitute

`m=(0-(-6))/(0-(-2))=(6)/(2)=3\\\\y-0=3(x-0)\\\\y=3x`

Answer:

`f(x)=3x`