Answer: The correct option is
(D) \(x=-4.\)
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
\(x=k~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
Since the given vertical line passes through the point (-4, 7) so from equation (i), we have
\(-4=k\\\\\Rightarrow k=-4.\)
Substituting the value of k in equation (i), we get
\(x=-4.\)
Thus, the required equation of the line is \(x=-4.\)
Option (D) is CORRECT.
