Verified answer

x=5

Note that x = 4 is a vertical line. It goes straight up and down and thus has an undefined slope. It goes through all the points where x = 4 like (0,4) and (2,4) and (-5,4) etc.

Also note that in order for your new line to be parallel to this line, they must never cross and so you have yourself another vertical line.

Vertical lines are always of the variety:

x = a number

We want the line to pass through the point (5, -2)

Ordered pairs are always (x,y) so our x-coordinate is 5

Your answer is

x = 5