Question

The line `f(x)` is perpendicular to `x=8` and passes through the point `(-1,6)`. How do you express `f(x)` ?

Answer 1

`f(x)=6 forall x in RR`
[The horizontal straight line `y=6`]

Explanation:

The line `x=8` is the vertical straight line through the point `(8,0)`parallel to the `y-`axis

The line `f(x)` perpendicular to `x=8` will be a horizontal line parallel to the `x-`axis

We are told that `f(x)` passes through the point `(-1,6)` so `f(-1) =6`

We also know that `f(x)` is horizontal, so `f(x) =6` for all values of `x`.

This can be written as: `f(x)=6 forall x in RR` or simply `y=6`