How can an absolute value equation help you the distance from one point to another in coordinate plane while the points are in the same horizontal line?

An absolute value equation can help determine the distance between two points on a horizontal line by calculating the difference in their x-coordinates. For two points, (A(x_1, y)) and (B(x_2, y)), the distance can be expressed as (|x_2 - x_1|). This equation captures the concept that distance is always non-negative, regardless of the order of the points. Thus, it effectively provides the length between the two points along the horizontal axis.