Question

Are the lines × = 2 and y = 4 parallel? Are they perpendicular? Explain.

○ They are parallel. They are not perpendicular. The line x = 2 is vertical. The = 4 is horizontal. A vertical line is parallel to a horizontal line. line y
○They are not parallel. They are perpendicular. The line x = 2 is vertical. The line y = 4 is horizontal. A vertical line is perpendicular to a horizontal line.
○They are not parallel. They are perpendicular. The line x = 2 is horizontal. The line y = 4 is vertical. A horizontal line is perpendicular to a vertical line
○They are not parallel. They are perpendicular. The line x = 2 crosses line y = 4 at (2,4). A line is perpendicular when it crosses another line at any point.​

Answer 1

Choice C: They are not parallel. They are perpendicular. The line x = 2 is horizontal. The line y = 4 is vertical. A horizontal line is perpendicular to a vertical line

Explanation:

The line y=4 is horizontal so, the line passes through (0,4) and its slope is 0

The line x=2 is vertical so, the the line passes through (2,0) and its slope is undefined since it’s a vertical line.

Vertical lines are perpendicular to horizontal lines, which make x=2 and y=4 perpendicular and not parallel

Answer 2

Choice C: They are not parallel. They are perpendicular. The line x = 2 is horizontal. The line y = 4 is vertical. A horizontal line is perpendicular to a vertical line

Explanation:

The line y=4 is horizontal so, the line passes through (0,4) and its slope is 0

The line x=2 is vertical so, the the line passes through (2,0) and its slope is undefined since it’s a vertical line.

Vertical lines are perpendicular to horizontal lines, which make x=2 and y=4 perpendicular and not parallel