# What is the general equation for the arclength of a line?

If we wish to find the arc length of

If we were to use pythagoras, by connecting a horizontal line to a vertical line, we would get the following"

As obtained using our formula.

Hopefully this helps!

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The general equation for the arc length (s) of a line segment in a Cartesian coordinate system between two points (x₁, y₁) and (x₂, y₂) is given by:

[ s = \sqrt{(x₂ - x₁)^2 + (y₂ - y₁)^2} ]

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