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:

`(-3,\ 0);\ (-4,\ 7)`

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=(7-0)/(-4-(-3))=(7)/(-1)=-7`

`y-0=-7(x-(-3))\\\\y=-7(x+3)\\\\y=-7x-21`

Answer:

`f(x)=-7x-21`