Question

determine whether the graphs of the given equations are parallel, perpendicular, or neither. y = - 3 x = 6 choose the correct answer below. a. neither b. perpendicular c. parallel

Explanation:

Step1: Analyze the slope of $y = - 3$

The equation $y=-3$ represents a horizontal line. The slope of a horizontal line is $m_1 = 0$.

Step2: Analyze the slope of $x = 6$

The equation $x = 6$ represents a vertical line. The slope of a vertical line is undefined.

Step3: Determine the relationship

A horizontal line and a vertical line are perpendicular to each other.

Answer:

B. Perpendicular