Problem based on plane geometry


Question: For the Minkowski plane, dM(AB) = |x2 - x1|+ |y2 - y1|. Proposition 2.2 states that if A(x1,y1) and B(x2,y2) are on the line y = mx + b, then dM(AB) = |x1 - x2|(1+|m|) . Prove that the two are equivalent.

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Mathematics: Problem based on plane geometry
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