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Using slope to partition a line segment AB with ratio a/b on a coordinate plane.

A cartoon character stands beside a graph illustrating the partitioning of line segment AB with ratio a/b, showing points A (x₁, y₁) and B (x₂, y₂), with formula P = (x₁ + c(x₂ - x₁), y₁ + c(y₂ - y₁)) and c = a/(a+b).

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(view all partitioning line segments in two dimensions practice worksheet)