Question

find the distance between the points. (-1, -7) and (-1, 1) the distance is □.

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1=-1,y_1 = - 7,x_2=-1,y_2 = 1$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(-1-(-1))^2+(1 - (-7))^2}=\sqrt{( - 1 + 1)^2+(1 + 7)^2}=\sqrt{0^2+8^2}$.

Step3: Calculate result

$\sqrt{0^2+8^2}=\sqrt{0 + 64}=\sqrt{64}=8$.

Answer:

8