Question

How do you find the equation of the line perpendicular to `x=1` and passing through (-4, -5)?

Answer 1

`y= -5`

`x=1` is a line perpendicular to x- axis, hence a line perpendicular to it would be a line parallel to y axis. The line parallel to y axis and passing through `(-4,-5)` would be `y= -5`

Answer 2

This is a situation easier than you think!
`x=1` is a vertical line passing through `1` on the x axis, so the perpendicular to this is na horizontal one passing throug -5 on the y axis!!!!
So the equation of your line is `y=-5`