Question

Which statements are true? Select three options.

The line x = 0 is perpendicular to the line y = –3.
All lines that are parallel to the y-axis are vertical lines.
All lines that are perpendicular to the x-axis have a slope of 0.
The equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2.
The equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

Answer 1

The true statements are 1, 2, and 5.

Brief reasons:
1. x = 0 is vertical and y = −3 is horizontal, so they are perpendicular.
2. Lines parallel to the y-axis share its vertical direction, so they are vertical.
5. A line perpendicular to the y-axis is horizontal; the horizontal line through (−5, 1) is y = 1.