Question

find an equation of the vertical line through (-4,2). if possible, write a formula for a linear function whose graph is the given line. the equation of the vertical line through (-4,2) is \boxed{}. (simplify your answer. type an equation.)

Explanation:

Step1: Recall vertical line property

Vertical lines have the form $x = c$, where $c$ is the $x$-coordinate of any point on the line.

Step2: Identify the $x$-coordinate

The given point is $(-4, 2)$, so its $x$-coordinate is $-4$.

Step3: Write the equation

Substitute $c = -4$ into the vertical line form.

Answer:

$x = -4$
A linear function cannot be written for this vertical line, as vertical lines do not pass the vertical line test for functions.