Question

distance, midpoint, and slope formula pra
find the distance between the pair of points.
(0, -8), (-6,0)
d = units

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, $x_1 = 0,y_1=-8,x_2=-6,y_2 = 0$.

Step2: Substitute values

$d=\sqrt{(-6 - 0)^2+(0-(-8))^2}=\sqrt{(-6)^2 + 8^2}$.

Step3: Calculate squares

$(-6)^2=36$ and $8^2 = 64$, so $d=\sqrt{36 + 64}$.

Step4: Add values inside square - root

$36+64 = 100$, so $d=\sqrt{100}$.

Step5: Find square - root

$\sqrt{100}=10$.

Answer:

$10$