Question

Find the linear function with the following properties.f(0)= -4 slope of f = -6answer : f (x) = ?

Answer 1

Given:

`\begin{gathered} f(0)=-4 \\ \text{slope of f= -6} \end{gathered}`

F(0) represents the y-intercept of the function

The general linear function has a form:

`f(x)=m\cdot x+b`

Where m is the slope and b is the y-intercept

So,

`\begin{gathered} m=-6 \\ b=-4 \end{gathered}`

Substitute with m and b, the answer will be:

`f(x)=-6x-4`