Which statement is true about the graphs of the two lines y = –6 and x =1/6 ?

The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x =1/6 is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x =1/6 is a horizontal line with a slope that is undefined.
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x =1/6 is a vertical line with a slope that is undefined.

Answer:- The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.

Explanation:-

The x -axis is a horizontal line with the equation y=0. Its slope is 0

The y -axis is a horizontal line with the equation x=0 . Its slope is not defined.

y=-6 is a horizontal line and is parallel to x axis.

∴Its slope is 0. [slope of parallel lines are equal]

x=1/6 is a vertical line parallel to y-axis.

∴ Its slope not defined. [slope of parallel lines are equal]