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?
11
24
14
To find the distance between the two points, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values:
Distance = √((-3 - 7)^2 + (3 - (-7))^2)
Distance = √((-10)^2 + (3 + 7)^2)
Distance = √(100 + 100)
Distance = √200
Distance ≈ 14 (rounded to the nearest unit)
Therefore, the distance between your house and the subway stop is approximately 14 units.