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

Jun 6, 2015

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

$y = m x + c$ 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 $\left(- 2 , 4\right)$ then its equation must be:

$x = - 2$