Why is subtracting y and x coordinates help you find the length on the vertical segment?

Subtracting the y-coordinates of two points gives you the vertical distance between them, which represents the length of the vertical segment. This is because the y-coordinate indicates the vertical position on a Cartesian plane. The formula for the length of the vertical segment is |y2 - y1|, where y1 and y2 are the y-coordinates of the two points. The absolute value ensures that the distance is always a positive value, regardless of the order of the points.