Which statement is true about any line perpendicular to the x-axis?(1 point)

Responses

Any line perpendicular to the x-axis has zero slope.
Any line perpendicular to the x -axis has zero slope.

Any line perpendicular to the x-axis intersects the y-axis to form a right angle.
Any line perpendicular to the x -axis intersects the y -axis to form a right angle.

Any line perpendicular to the x-axis will never intersect the x-axis.
Any line perpendicular to the x -axis will never intersect the x -axis.

Any line perpendicular to the x-axis has an undefined slope.

1 answer

The true statement about any line perpendicular to the x-axis is:

Any line perpendicular to the x-axis has an undefined slope.

Lines perpendicular to the x-axis are vertical lines, which do not have a defined slope because the change in x (the run) is zero, leading to a division by zero in the slope formula (slope = change in y / change in x).