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?

Question

(1 point)
Responses

5
5

13
13

8
8

18
18

Answer 1

The distance between two points can be found using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates of the subway stop (-5, 2) and your house (-9, 9):

d = sqrt((-5 - (-9))^2 + (2 - 9)^2)
d = sqrt(4^2 + (-7)^2)
d = sqrt(16 + 49)
d = sqrt(65)

Since we only want the distance to the nearest unit, the distance between your house and the subway stop is approximately 8 units.

Therefore, the correct response is:

8