Answer:
<h2>A. 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.</h2>
Step-by-step explanation:
The given lines are and .
Notice that they are a horizontal and a vertical line, respectively.
If one of them is vertical and the other one is horizontal that means they are perpendicular lines. The vertical line passes through 1/6 and the horizontal line passes through -6.
Therefore, they are vertical lines intercepted at (1/6 , -6).
Additionally, vertical lines always have undefined slope, and horizontal lines always have a null slope.