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

substitute

`m=(-4-(-8))/(0-(-4))=(4)/(4)=1\\\\y-(-8)=1(x-(-4))\\\\y+8=x+4\ \ \ |-8\\\\y=x-4`

Answer:

`f(x)=x-4`