Determine whether the statement is true or false. The lines \( x=-4 \) and \( x=4 \) are perpendicular.

To determine whether the lines \( x = -4 \) and \( x = 4 \) are perpendicular, we need to analyze the nature of these lines. 1. **Understanding the lines**: - The line \( x = -4 \) is a vertical line that passes through the point (-4, y) for all values of y. - The line \( x = 4 \) is also a vertical line that passes through the point (4, y) for all values of y. 2. **Perpendicular lines**: - Two lines are considered perpendicular if the product of their slopes is -1. - Vertical lines have an undefined slope, and they do not intersect at a right angle with each other. Since both lines are vertical, they are parallel to each other, not perpendicular. Therefore, the statement is **false**.