The distance between \( (4,5) \) and \( (4,20) \) is

To find the distance between the points \( (4,5) \) and \( (4,20) \), we can use the distance formula. However, since the x-coordinates are the same (both are 4), this means we’re dealing with a vertical distance. We simply subtract the y-coordinates: \[ \text{Distance} = |y_2 - y_1| = |20 - 5| = 15. \] So, the distance between the points is 15 units! Did you know that this method of finding distance works in any coordinate system? You can think of it as simply measuring how far apart two points are on a straight line, making it super straightforward for vertical or horizontal distances. The same logic applies—just remember to keep your eyes on the y-values for vertical and x-values for horizontal! If you're curious about practical applications, distance calculations are essential in various fields—from urban planning, where city planners evaluate distances between amenities, to sports analytics, where tracking player movements involves calculating distances across the field! Understanding these basics can help in games, designing efficient routes, or even caring for urban wildlife!