Question

use the information to determine if the lines are parallel, perpendicular or neither.
line 1: ( x = 5 )
line 2: ( y = - 8 )
perpendicular

Explanation:

Step1: Analyze the nature of the lines

Line 1: \(x = 5\) is a vertical line (undefined slope). Line 2: \(y=-8\) is a horizontal line (slope \(m = 0\)).

Step2: Use the perpendicular - slope relationship

For two lines with slopes \(m_1\) and \(m_2\), if one line is vertical (\(m_1=\text{undefined}\)) and the other is horizontal (\(m_2 = 0\)), they are perpendicular. A vertical line and a horizontal line intersect at a right - angle (\(90^{\circ}\)).

Answer:

The lines \(x = 5\) and \(y=-8\) are perpendicular.