Question

find the distance between the points (-6, -14) and (-6, 8). units

Explanation:

Step1: Recall distance formula

The distance $d$ 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 $x_1=-6,y_1 = - 14,x_2=-6,y_2 = 8$.

Step2: Substitute values

Substitute into the formula: $d=\sqrt{(-6-(-6))^2+(8 - (-14))^2}=\sqrt{(0)^2+(8 + 14)^2}$.

Step3: Simplify

$d=\sqrt{0+(22)^2}=\sqrt{22^2}=22$.

Answer:

22