How Is Slope Calculated Using Rise Over Run?

Calculating slope using rise over run is determined by finding the change in the vertical and horizontal aspects of a line. The vertical axis of a line is considered the rise while the horizontal axis is referred to as the run. The difference in the vertical and horizontal values of the line equates to rise over run, which then allows the slope to be graphed.

In mathematics the slope of a line is defined as its level of steepness. The slope is expressed most frequently with the letter M. The formula for finding the slope, or M value, is M = (change) Y divided by (change) X. The values derived from finding the differences in M are called points, which can then be graphed onto the plot. Slopes may have multiple points, but require at least two points to exist on a line. Slopes, unlike other variables in the equation, do not change. In addition to varying in number of points, slopes vary in type. They may have a negative or positive value, or have a value of zero. Regardless of value, rise over run does not change. However, positive slopes rise on a graph from left to right while slopes with negative charges form the opposite shape and rise from right to left.