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Yes, the formula for the Euclidean distance. But not necessarily other distance metrics.
The Euclidean distance is sqrt[(-2 - 3)2+ (2 - -2)2] = sqrt[52+ 42] = sqrt[25 + 16] = sqrt(41) = 6.40 approx.The Euclidean distance is sqrt[(-2 - 3)2+ (2 - -2)2] = sqrt[52+ 42] = sqrt[25 + 16] = sqrt(41) = 6.40 approx.The Euclidean distance is sqrt[(-2 - 3)2+ (2 - -2)2] = sqrt[52+ 42] = sqrt[25 + 16] = sqrt(41) = 6.40 approx.The Euclidean distance is sqrt[(-2 - 3)2+ (2 - -2)2] = sqrt[52+ 42] = sqrt[25 + 16] = sqrt(41) = 6.40 approx.
A circle. However, that DOES depend on the Euclidean metric being used for measuring distance.
nothing
You get a curve. If you join them along the shortest [Euclidean] distance between them, you get a straight line.