In 2-dimensional space, it is the difference between their y-coordinates, in 3-dimensional space, it is the difference between their z-coordinates.
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The difference in the y coordinates would be your vertical separation.
Yes. Slope is the distance between two different points, expressed as rise over run. The rise is the vertical distance and the run is the horizontal distance.
Yes, the x-distance, y-distance, z-distance, or any combination of the three between any two points may be zero Not possible. If the distance between two points is zero then the points are the same.
The difference in the y-values of two points on a line is equal to the vertical distance between those points. This difference is also known as the "rise" or the "change in y." To calculate the difference in the y-values of two points (y₁, x₁) and (y₂, x₂) on a line, you simply subtract the y-coordinate of one point from the y-coordinate of the other: Difference in y-values = y₂ - y₁ This calculation gives you the vertical distance between the two points on the line.
An interval. The short distance is the length of a straight line joining the two points.