what is the equation of the vertical line through (-8,5)?

Explanation:

Step1: Recall vertical - line equation form

The equation of a vertical line is of the form $x = a$, where $a$ is a constant.

Step2: Identify the x - coordinate of the given point

The given point is $(-8,5)$. The x - coordinate of the point is $x=-8$.

Step3: Write the equation of the vertical line

Since the equation of a vertical line passing through a point $(x_0,y_0)$ is $x = x_0$, for the point $(-8,5)$ the equation of the vertical line is $x=-8$.

Answer:

$x = - 8$