Question

F(2)=-2 and f(1)=1 write a linear function

Answer 1

`f(x) = -3x+4`

Explanation:

We can use the form
`y=mx+b` to find the linear function.

From
`f(2)=-2` , we can write:

`-2=2m+b`

From
`f(1)=1` , we can write:

`1=m+b`

To find for
`m`, we can substract the second equation from the first:

`2m+b-(m+b) = -2-1`

`2m+b-m-b=-3`

`m=-3`

To find for
`b`, we can use substitution:

`1 = m+b`

`1 = -3+b`

`b=4`

∴
`f(x) = -3x+4` is the linear function.

Hope this helps :)