Which of the following describes the rise in the slope formula?

The correct choice describes the vertical change between two points. In the context of the slope formula, which is often represented as ( m = \frac{y_2 - y_1}{x_2 - x_1} ), the components of the formula are crucial for understanding how slope is calculated. The "rise" specifically refers to the difference in the y-coordinates of two points on a line, which is the vertical change.

When you take two points on a graph, the rise measures how far up or down you go as you move from one point to another. This vertical change is essential in determining the steepness or incline of the line. The slope is the ratio of this vertical change (rise) to the horizontal change (run), which allows for a clear representation of how steep the line is.

Understanding this concept is key for graph interpretation, linear equations, and overall comprehension of coordinate geometry.