A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2) and your house is located at (-9, 9). What is the distance, to the nearest unit, between your house and the subway stop? (There isn't an image)

1 answer

Using the distance formula, we have:

distance = √[(x2 - x1)^2 + (y2 - y1)^2]

Setting (x1, y1) = (-5, 2) and (x2, y2) = (-9, 9), we get:

distance = √[(-9 - (-5))^2 + (9 - 2)^2]
distance = √[(-4)^2 + 7^2]
distance = √(16 + 49)
distance = √65
distance ≈ 8

Therefore, the distance, to the nearest unit, between your house and the subway stop is 8.