Question

find the distance between the pair of points. n(-7, -15), p(-7, -3) 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 $x_1=-7,y_1 = - 15,x_2=-7,y_2=-3$.

Step2: Substitute values

Substitute the values into the formula: $d=\sqrt{(-7-(-7))^2+(-3 - (-15))^2}=\sqrt{( - 7 + 7)^2+(-3 + 15)^2}=\sqrt{0^2+12^2}$.

Step3: Simplify

$\sqrt{0^2+12^2}=\sqrt{0 + 144}=\sqrt{144}=12$.

Answer:

$12$