A grid shows the positions of a subway stop and your house. The subway stop is located at (7, −7) and your house is located at (−3, 3). What is the

distance, to the nearest unit, between your house and the subway stop?

1 answer

as the crow flies, the distance is
√((-3-7)^2 + (3+7)^2) = √(100+100) = √200 = 10√2 = 14.14

if you have to walk along a rectangular grid, then the distance is
|-3-7| + |3+7| = 10+10 = 20

If this is unclear, plot the two points and it should be more obvious.