In the standard \((x,y)\) coordinate plane, define the \(h-v\) distance between 2 points to be the length, in coordinate units, of the shortest path between the 2 points using only horizontal and vertical segments. The expression \(|5-2|+|3-(-4)|\) gives the \(h-v\) distance between which of the following pairs of points?

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\(|5-2|+|3-(-4)|\) implies that there are two segments,

$$|5-2|+|3-(-4)| $$ $$ = 3 +7 $$

We are looking for a pair of points with two segments of length 3 and 7. The first choice meets this requirement.