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;; Point is [x y] tuple
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(defn compute-line [pt1 pt2]
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(let [[x1 y1] pt1
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[x2 y2] pt2
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m (/ (- y2 y1) (- x2 x1))]
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{:slope m
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:offset (- y1 (* m x1))}))
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(defn intercept [line1 line2]
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(let [x (/ (- (:offset line1) (:offset line2))
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(- (:slope line2) (:slope line1)))]
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{:x x
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:y (+ (* (:slope line1) x)
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(:offset line1))}))
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