What is the formula to calculate the slope between two points on a graph?

The formula to calculate the slope between two points on a graph is derived from the change in the y-values over the change in the x-values. Specifically, for two points represented as (x₁, y₁) and (x₂, y₂), the slope is calculated by taking the difference in their y-values (y₂ - y₁) and dividing it by the difference in their x-values (x₂ - x₁). This formula effectively measures the steepness of the line connecting the two points and indicates the rate at which y changes with respect to x.

The other choices serve different purposes: the equation y = mx + b represents the slope-intercept form of a linear equation where 'm' indicates the slope, but it is not a formula to calculate it between two points. The term "rise/run" describes the concept of slope but does not provide a mathematical expression. Lastly, y = c + b^x represents an exponential function rather than a linear slope calculation. Thus, the first option is the direct and accurate formula for calculating the slope between two points on a graph.