Question

find the distance between the points $(-8, -10)$ and $(2, -10)$. units

Explanation:

Step1: Identify distance formula for points

For points $(x_1,y_1)$ and $(x_2,y_2)$, distance $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step2: Substitute given coordinates

Let $(x_1,y_1)=(-8,-10)$, $(x_2,y_2)=(2,-10)$
$d=\sqrt{(2-(-8))^2+(-10-(-10))^2}$

Step3: Simplify the expression

$d=\sqrt{(10)^2+(0)^2}=\sqrt{100+0}=\sqrt{100}$

Step4: Calculate final value

$d=10$

Answer:

10 units