Which formula is used to find the slope (m) between two points?

The correct formula for finding the slope (m) between two points is derived from the change in the y-coordinates divided by the change in the x-coordinates of these points. Specifically, if you have two points represented as (x1, y1) and (x2, y2), the slope is calculated as the difference in the y-coordinates (y2 - y1) over the difference in the x-coordinates (x2 - x1). This relationship illustrates how steeply the line rises or falls between these two points, essentially showing the rate of change of y with respect to x.

Thus, the formula y2 - y1 / x2 - x1 accurately represents that calculation, effectively conveying how one variable changes as the other variable changes across these two points. This is crucial in various applications, including linear equations, graphing, and understanding relationships between variables in both mathematics and science.

The other options represent different mathematical concepts. For instance, the average of the coordinates or specific calculations that do not pertain to the slope of a line. Consequently, they are not suitable for determining the slope between two points on a coordinate plane.