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?

Summary Submit Skip Question

$|5-2|+|3-(-4)|$ 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.