y-intercept
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A vertical line on a graph has an infinite slope, and no y-intercept.
If x is horizontal distance in your graph, and y is vertical distance, the vertical intercept is what y is when x=0. For example, if x is the time since you started a business, and y is how much your business is worth, the vertical intercept is how much money you started off with.
There is not any. A vertical line is parallel to the y-axis so they cannot meet or they are the same line. In either case there is no intercept.
Vertical offset.
Yes.