Question

What is the equation of a vertical line passing through the point (−4, 7)? y = 7 y = −4 x = 7 x = −4

Answer 1

The equation of the vertical line passing through point -4,7 would be X = -4.

Answer 2

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.