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Find an arc length parameterization of the line y=mx+b

r1(s) = __________________

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Final answer:

To find an arc length parameterization of the line, use the distance formula to establish a parameterization for the arc length.

Step-by-step explanation:

To find an arc length parameterization of the line, use the distance formula to establish a parameterization for the arc length.

The given equation is y = mx + b, which represents a straight line. To find an arc length parameterization of the line, we need to determine a parameter that can represent the arc length. One way to do this is by using the distance formula. The distance formula between two points (x1, y1) and (x2, y2) is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

By applying the distance formula to the points on the line, we can establish a parameterization for the arc length. However, it's important to note that without additional information about the line and the specific points, we cannot provide an exact arc length parameterization.

User Tim Newton
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