Question

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

Explanation:

Step1: Identify distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Substitute the points

Let $(x_1,y_1)=(-5,-6)$ and $(x_2,y_2)=(-3,-8)$. Then $x_2 - x_1=-3-(-5)=2$ and $y_2 - y_1=-8 - (-6)=-2$.

Step3: Calculate the distance

$d=\sqrt{(2)^2+(-2)^2}=\sqrt{4 + 4}=\sqrt{8}$.

Answer:

D. $\sqrt{8}$