Final answer:
The lines x = 1 (vertical line) and y = -8 (horizontal line) are indeed perpendicular to each other because they intersect at a 90-degree angle, so the statement is True.
Step-by-step explanation:
The student has asked whether the statement 'The lines x = 1 and y = -8 are perpendicular' is true or false. To determine whether the lines are perpendicular, we need to examine their slopes. The equation x = 1 represents a vertical line that does not have a defined slope because vertical lines go straight up and down. The equation y = -8 represents a horizontal line that has a slope of 0 because horizontal lines are flat.
Perpendicular lines are those that intersect at a 90-degree angle. A vertical line is always perpendicular to a horizontal line since the angle between the two is always 90 degrees. Therefore, the statement is True.