No, the skyline is not even because of geographical features such as hills and valleys. Furthermore, the curvature of the earth will ensure that the skyline is not a straight line.
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The line y = 6 is horizontal and has a slope of zero, as does any line that is parallel to it.
An horizontal line . A line parallel with the x-axis. NB A vertical line / a slope parallel with the y-axis is described as 'undefined'.
They will remain horizontal lines. A line parallel to the x-axis will remain a line parallel to the x-axis no matter how far back into space they go.
Perpendicular is when a line is at a right angle to another. Parallel lines are side by side and even if they were to go on to infinity, would never meet. Therefore the answer is perpendicular.
If the lines are in the same plane and never intersect they are always parallel. Two line can not intersect and be parallel if they are in different planes though. Take a cube for example, if you have one Sid of it and take the edge and then go to the opposite side and make a horizontal line they will never intersect but are also not parallel.