To find the distance between two points on a coordinate grid, you can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the subway stop (4, -2) and your house (-9, -6):
Distance = sqrt((4 - (-9))^2 + (-2 - (-6))^2)
Distance = sqrt((13)^2 + (4)^2)
Distance = sqrt(169 + 16)
Distance = sqrt(185)
Distance ≈ 13.6
Therefore, the distance to the nearest unit between your house and the subway stop is approximately 14.
A grid shows the positions of a
subway stop and your house.
The subway stop is located at (4,
–2), and your house is located at
(–9, –6). What is the distance, to
the nearest unit, between your
house and the subway stop?
(1 point)
6
9
14
15
1 answer