Question

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

Answer 1

The line `x=5` is vertical, with undefined (infinite) slope. It cannot be expressed in point-slope form:

`y = mx + c` where `m` is the slope and `c` is the intercept.

Any line parallel to it will also have undefined (infinite) slope and will not be expressible in point-slope form.

It will be expressible in the form `x=k` for some constant `k`.

If such a line passes through the point `(-2, 4)` then its equation must be:

`x = -2`