# How do you write an equation in standard form for a vertical line passing through (-5, -2)?

May 4, 2015

A linear equation in "standard form" looks like
$A x + B y = C$

A vertical line is of the form
$x = C$
If $\left(- 5 , - 2\right)$ is on the vertical line, then
$x = - 5$
or in (expanded) standard form:
$\left(1\right) x + \left(0\right) y = - 5$

May 4, 2015

$x = - 5$ or $x + 5 = 0$
You want a vertical line; so it has always the same $x$ (otherwise it would be inclined) and $y$ can change freely.
The equation $x = - 5$ has a fixed value of $x$ (i.e. $- 5$) and can have any value of $y$.