Question

what is the distance between (-5, -6) and (-3, -8)? choose 1 answer: a 2 b 4 c √4 d √8

Explanation:

Step1: Identify 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, $x_1=-5,y_1 = - 6,x_2=-3,y_2=-8$.

Step2: Substitute values

$d=\sqrt{(-3-(-5))^2+(-8 - (-6))^2}=\sqrt{(-3 + 5)^2+(-8 + 6)^2}=\sqrt{(2)^2+(-2)^2}$.

Step3: Calculate

$d=\sqrt{4 + 4}=\sqrt{8}$.

Answer:

D. $\sqrt{8}$