The line through (-2,4) that is perpendicular to the x-axis?

If you are asking if the line through (-2,4) is perpendicular to the x-axis, then, yes, I think it is. Do you know why, though? Hope this helps.

The line perpendicular to the X-axis through (-2,-4) would have all values of Y equal to the same value of X.

I hope this helps a little more. Thanks for asking.