Question

1. a grid shows the position 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 between your house and the subway stop? round to the nearest whole unit if necessary

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify the coordinates

Let $(x_1,y_1)=(-5,2)$ (subway - stop) and $(x_2,y_2)=(-9,9)$.

Step3: Substitute into formula

$d=\sqrt{(-9-(-5))^2+(9 - 2)^2}=\sqrt{(-4)^2+7^2}=\sqrt{16 + 49}=\sqrt{65}$.

Step4: Calculate and round

$\sqrt{65}\approx 8$ (rounded to the nearest whole unit).

Answer:

8