Answer: The slope of the line perpendicular to y=41 is not defined.
The slope of the line parallel to y=41 is 0.
Step-by-step explanation:
Given equation of line: y=41
When we plot it on the graph parallel to the x axis, and we know that slope of x axis is 0. [by using slope formula]
Therefore, the slope of y=41 must be 0[slope of parallel lines are equal]
Now, any line perpendicular to y=41 must be in the form of x=a, where a is any integer .
We know that x=a is a vertical line and is parallel to y axis, thus its slope must be not defined.[because slope of y axis is not defined]