Question

The linear function f with values f(-6) = 8 and f(5) = 3 is f(x) =

Answer 1

You can compute the slope given that you have two points
`(-6,8)` and
`(5,3)`.

`m=(3-8)/(5-(-6))=(-5)/(11)=-(5)/(11)`

Your function has a form of,

`f(x)=mx+n`

So we also need to find n. To do that, substitute y and x for some point we already know, I will pick point
`(5,3)` then solve for n,

`3=-(5)/(11)\cdot5+n`

`n=3+(5)/(11)\cdot5`

`n=3+(25)/(11)`

`n=(33+25)/(11)=(58)/(11)`

So the function is,

`f(x)=-(5)/(11)x+(58)/(11)`

Hope this helps :)