The concept of rise over run, also known as slope or gradient, is a measure of how steep a line is. It is calculated by dividing the change in the y-coordinate (rise) by the change in the x-coordinate (run) between any two points on the line.
Change in y over change in x is essentially the same as rise over run. By dividing the change in y by the change in x, we are determining the ratio between how much the y-coordinate changes relative to how much the x-coordinate changes.
For example, if we have a line with a rise of 4 units and a run of 2 units, the rise over run would be 4/2, which simplifies to 2. This means that for every 2 units the x-coordinate increases, the y-coordinate increases by 4 units. So in this case, rise over run, or change in y over change in x, is equal to the slope of the line, which is 2.
In summary, rise over run and change in y over change in x are two different ways to express the same idea: the measure of slope or steepness of a line. It tells us how much the y-coordinate changes relative to the x-coordinate.
Explain how rise over run is relating to change in y over change in x?
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