Question

determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y = -5
x = 4
choose the correct answer below.
o a. parallel
o b. perpendicular
o c. neither

Explanation:

Step1: Analyze the slope of \(y = - 5\)

The equation \(y=-5\) is a horizontal line. The slope of a horizontal line \(y = c\) (where \(c\) is a constant) is \(m_1 = 0\).

Step2: Analyze the slope of \(x = 4\)

The equation \(x = 4\) is a vertical line. The slope of a vertical line \(x = k\) (where \(k\) is a constant) is undefined. A vertical line and a horizontal line intersect at a right - angle.

Answer:

B. Perpendicular