What is the formula used to calculate the slope between two points?

The formula used to calculate the slope between two points ((x_1, y_1)) and ((x_2, y_2)) is derived from the basic concept of slope in coordinate geometry, which represents the rate of change of (y) with respect to (x). The correct formula is ((y_2 - y_1)/(x_2 - x_1)).

This formula shows how much (y) changes relative to how much (x) changes as you move from the first point to the second point. In this context, (y_2) represents the (y)-coordinate of the second point, and (y_1) represents the (y)-coordinate of the first point. Similarly, (x_2) and (x_1) are the (x)-coordinates of the respective points.

Calculating the difference between (y_2) and (y_1) gives the vertical change (rise), while the difference between (x_2) and (x_1) gives the horizontal change (run). The slope, which indicates the steepness of the line connecting the two points