Question

78. A grid shows the positions of a subway stop and your house. The subway stop is located at (-7,3) and yourhouse is located at (-2,9). What is the distance, to the nearest unit, between your house and the subway stop?A. 18B. 8C. 13D. 5

Answer 1

Given:

The position coordinates of the subway stop, (x1, y1)=(-7,3).

The position coordinates of the house, (x2,y2)=(-2,9).

The distance between the house and the subway stop is,

`\begin{gathered} D=\sqrt[]{(x2-x1)^2+(y2-y1)^2} \\ =\sqrt[]{(-2-(-7))^2+(9-3)^2} \\ =\sqrt[]{(5)^2+6^2}^{} \\ =\sqrt[]{61} \\ \cong8\text{ } \end{gathered}`

Therefore, the distance between the house and the subway stop is 8 units.

Hence, option B is correct.