Answer: The correct option is
(D) [tex]x=-4.[/tex]
Step-by-step explanation: We are given to find the equation of a vertical line passing through the point (-4, 7).
We now that
a vertical line is always parallel to the y-axis and is of the form
[tex]x=k~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since the given vertical line passes through the point (-4, 7) so from equation (i), we have
[tex]-4=k\\\\\Rightarrow k=-4.[/tex]
Substituting the value of k in equation (i), we get
[tex]x=-4.[/tex]
Thus, the required equation of the line is [tex]x=-4.[/tex]
Option (D) is CORRECT.
