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Why don't vertical lines other than #y=0# have y-intercepts?

Answer 1

Vertical lines, by definition are parallel to #y#-axis.

By definition parallel lines have no points in common unless they are the same line in which case they have all points in common.

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Answer 2

Eli Assouline

Vertical lines other than ( y = 0 ) do not have ( y )-intercepts because they are parallel to the ( y )-axis and never intersect it. The ( y )-intercept represents the point where a line crosses the ( y )-axis, and for vertical lines, they run parallel to the ( y )-axis without ever crossing it, so they do not have ( y )-intercepts.

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Answer 3

Genesis Allen

Vertical lines other than y = 0 don't have y-intercepts because they are parallel to the y-axis and extend infinitely in both directions. The y-intercept is the point where a line crosses the y-axis, but since vertical lines never cross the y-axis, they don't have y-intercepts.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.