Short Answer

Geometric Analysis of Warehouse Carts

A logistics coordinator graphs the paths of two automated picking carts modeled by the system:

{y=12x3x2y=4\left\{\begin{array}{l} y = \frac{1}{2}x - 3 \\ x - 2y = 4 \end{array}\right.

After analysis, the coordinator finds that both lines have a slope of $1/2butdifferentyintercepts( but different y-intercepts (-3andand-2$). What specific geometric term describes these lines and explains why they will never intersect?

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Updated 2026-04-17

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