Question

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?

Answer 1

Distance =
`√((x_2-x_1)^2 + (y_2-y_1)^2)`
so plug in the coordinates and you will get 14.14 units

Answer 2

Distance between house and the subway stop = 14 units

Explanation:

By distance formula the distance between (a,b) and (c,d) is
`√((c-a)^2+(d-b)^2)`

Here we need to find distance between (7,-7) and (-3,3)

Distance between house and the subway stop
`√((-3-7)^2+(3-(-7))^2)=√(100+100)=√(200)=14.14`

Distance between house and the subway stop = 14 units