Determine whether the statement is true or false. The lines \( x=6 \) and \( y=-1 \) are perpendicular.

The statement is false. The line \( x=6 \) is a vertical line and the line \( y=-1 \) is a horizontal line. While vertical and horizontal lines intersect at right angles (90 degrees), they are not considered perpendicular lines in the traditional sense, as they exist on different dimensions of the coordinate plane. Perpendicular lines must be lines that can be defined in terms of slope; since one is vertical and the other horizontal, they do not meet the criteria of being perpendicular to each other. However, they do intersect at the point \( (6, -1) \) forming a right angle. So they are special cases of intersecting lines, but not perpendicular in the strict sense required for slope-based definitions.