Question

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

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 = 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 = 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 = 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 = is a vertical line with a slope that is undefined.

Answer 1

The answer is :

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 = is a vertical line with a slope that is undefined.

A horizontal line always have a constant value of y. It doesn't move up or down. A vertical line always have a constant value of x. It doesn't move right or left.

Slope formula:

m = y2 - y1 / x2 - x1

Horizontal line:
m = 0 / x
m = 0

Vertical line:
m = y / 0
m = undefined.

Answer 2

OPTION D

Explanation:

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 = is a vertical line with a slope that is undefined.