Question

How do you write an equation in point slope form that passes through P(-2,4) and perpendicular to x=5?

Answer 1

Since the equation `x=5` is a vertical line, any line perpendicular to it must be a vertical line
(i..e. the perpendicular line must have the form `y=c` for some constant `c`).

If the perpendicular line passes through `(x,y) = (-2,4)`
then it must be:
`color(white)("XXXXX")` `y=4`