The correct explanation for the formula for slope is:
Slope is the ratio of rise over run. When given two points, you can determine the rise by finding the difference between the y-coordinates. You can determine the run by finding the difference between the x-coordinates.
This means that if you have two points \((x_1, y_1)\) and \((x_2, y_2)\), the slope \(m\) can be calculated using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] This formula accurately reflects the relationship of rise (change in y) over run (change in x).