The distance in what between two points is divided by the difference in what between the same points?

The distance in a function's output (often referred to as "change in y" or Δy) between two points is divided by the difference in the function's input (referred to as "change in x" or Δx) between the same points. This ratio represents the slope of the line connecting those two points on a graph, commonly denoted as (Δy/Δx). It essentially measures how much the output changes per unit change in the input.