How do you use absolute value to find the distance between two points that have the same x-coordinates but different y-coordinates?

Question
Functions
asked 2021-01-28
How do you use absolute value to find the distance between two points that have the same x-coordinates but different y-coordinates?

Answers (1)

2021-01-29
If the points have the same x-coordinates but different yy-coordinates, then they lie on a vertical segment. So, we find the absolute value of the difference of the yy-coordinates. The order of subtraction is not important since we will take its absolute value. For example, the distance between \(\displaystyle{\left({0},{1}\right)}{\quad\text{and}\quad}{\left({0},−{3}\right)}{i}{s}∣{1}−{\left(−{3}\right)}∣=∣{4}∣={4}{\quad\text{or}\quad}∣−{3}−{1}∣=∣−{4}∣={4}\)
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Relevant Questions

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(Enter your answer, rounded to four decimal places).
r=?
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