Write an equation for the line perpendicular to the \( x \)-axis through the point \( (-8,6) \). Answer 2 Points

To find the equation of a line perpendicular to the \( x \)-axis, we need to recognize that such a line is vertical. Since it should pass through the point \( (-8, 6) \), the equation will be in the form \( x = a \), where \( a \) is the \( x \)-coordinate of the point. Therefore, the equation of the line is \( x = -8 \). Now, why is a line perpendicular to the \( x \)-axis vertical? Well, the \( x \)-axis is a flat, horizontal line, and lines that are perpendicular to the horizontal must go up and down, creating that perfect T-shape we all love in geometry! And if you ever mix up vertical and horizontal, just remember: "V for vertical, V for very tall!" It helps keep the orientations straight!