Question

1. would the following lines be parallel, perpendicular, or neither? draw a picture to help explain your answer.

line a: ( x = 5 )
line b: ( y = 1 )

Explanation:

Step1: Analyze the nature of the lines

Line \(A:x = 5\) is a vertical line (parallel to the \(y -\)axis). Line \(B:y=1\) is a horizontal line (parallel to the \(x -\)axis).

Step2: Determine the relationship between vertical and horizontal lines

By the property of perpendicular lines in a coordinate plane, a vertical line and a horizontal line intersect at a right angle (\(90^{\circ}\)).

Answer:

The lines \(A\) and \(B\) are perpendicular.