Question

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

Answer 1

A linear equation in "standard form" looks like
`Ax+By=C`

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

Answer 2

`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`.