In the context of slope, what does "rise" refer to?

"Rise" in the context of slope specifically refers to the change in the y-values. When determining the slope of a line in a coordinate plane, the slope is calculated as the ratio of the change in y (the vertical change) to the change in x (the horizontal change). This concept is often articulated as "rise over run," where rise signifies the upward or downward movement on the y-axis.

In a practical sense, if you visualize a graph and move from one point to another, the change in the y-coordinate (the vertical aspect) tells you how high or low the line goes as you travel between those two points. Thus, understanding "rise" as the change in y-values is essential for grasping how slopes work and for solving problems related to linear equations and graphing.