Question

find the distance between the points (-6, -4) and (-6, 18).

Explanation:

Step1: Identify the distance formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the distance $d$ is given by $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1=-6,y_1 = - 4,x_2=-6,y_2 = 18$.

Step2: Substitute the values

Since $x_1=x_2=-6$, the formula simplifies to $d=\sqrt{(-6 + 6)^2+(18+4)^2}=\sqrt{0+(22)^2}$.

Step3: Calculate the result

$d=\sqrt{484}=22$.

Answer:

22