Question

find the distance between the pair of points. n(-4, -10), p(-4, -2)
d = (simplify your answer. type an exact answer, using radicals as needed.)

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 $x_1=-4,y_1 = - 10,x_2=-4,y_2=-2$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(-4-(-4))^2+(-2 - (-10))^2}=\sqrt{( - 4 + 4)^2+(-2 + 10)^2}=\sqrt{0^2+8^2}$.

Step3: Calculate the result

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

Answer:

$8$