Any closed bounded subset of a metric space is compact.
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Some examples for parallel lines- railroad tracks, steps, buildings, paper, windows, ect. Some examples for perpendicular lines- stop sign, bridge, street intersection, driveway into a street, ect.
Integers: 1, 2, 0, -3, ... Fractions: 1/2, -2/3, 7/5, 1 2/5 (this is the same as 7/5), ... Irrational numbers: square root of 2, square root of 3, pi, e, e2, ...
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Vertical lines are lines that go straight up and down, with no horizontal component. Some real examples of vertical lines include the edges of a door frame, the corner of a bookshelf, and the sides of a skyscraper. These lines have a slope that is undefined, as they have no horizontal change.