Question

find the distance between the points. (-3,5) and (-3,13)
the distance is

Explanation:

Step1: Identify distance formula

For two points $(x_1,y_1)$ and $(x_2,y_2)$, the distance $d$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here $x_1=-3,y_1 = 5,x_2=-3,y_2 = 13$.

Step2: Substitute values

Substitute into the formula: $d=\sqrt{(-3-(-3))^2+(13 - 5)^2}=\sqrt{(0)^2+(8)^2}$.

Step3: Calculate

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

Answer:

8