# Why is the slope of a vertical line undefined

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Slope is rise/run, or the change in y over the change in x. If you visualize it, a vertical line can be seen as having an infinite change in y and 0 change in x. Therefore, the slope of a vertical line is infinity/0. Both infinity and division by zero are undefined. More answers below John Falvey Author has 1.7K answers and 1.9M answer views 6 y. Slope and Vertical Lines Vertical lines have undefined slopes. This is because no matter how much their height (position on the y-axis) changes, their position on the x-axis never does. This means that even if their rise is infinite, their run will always be 0. Here are some examples with random values for rise:. The slope of a vertical line is undefined because the denominator of the slope (the change in X) is zero. Vertical lines help determine if a relation is a function in math. The equation of a vertical.

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Jun 07, 2012 · So, we divide 0 by the run which equals 0. That is the reason why the slope of a horizontal line is 0. For a vertical line, we only have the rise and we have 0 run. So, we divide rise by 0. We have learned that any number divided by 0 is undefined. 3 comments rise over run, slope of a horizontal line, slope of a vertical line, undefined slope. The slope of a vertical line is undefined because the denominator of the slope (the change in X) is zero. Vertical lines help determine if a relation is a function in math. The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept. We know that the slope between two points is rise over run or vertical change over horizontal change. Since x -coordinates of all points on a vertical line are same, so the run will be zero. That will give us a division by 0. Since division by zero is undefined, therefore, the slope of a vertical line is undefined. arrow_back..

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