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?

Respuesta :

Distance = [tex] \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} [/tex]
so plug in the coordinates and you will get 14.14 units 

Answer:

Distance between house and the subway stop = 14 units

Step-by-step explanation:

By distance formula the distance between (a,b) and (c,d) is [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]

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

Distance between house and the subway stop [tex]\sqrt{(-3-7)^2+(3-(-7))^2}=\sqrt{100+100}=\sqrt{200}=14.14[/tex]

Distance between house and the subway stop = 14 units

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