19 fill in the blank 8 points find the distance between the two points. (0, - 2), (- 5, - 1) $ \sqrt { ( x _ { 2 } - x _ { 1 } ) ^ { 2 } + ( y _ { 2 } - y _ { 1 } ) ^ { 2 } } $

Question

Accepted Answer

# Explanation:
## Step1: Identify coordinates
Let $(x_1,y_1)=(0, - 2)$ and $(x_2,y_2)=(-5,-1)$
## Step2: Substitute into distance formula
$$
\begin{align*}
d&=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\
&=\sqrt{(-5 - 0)^2+(-1-(-2))^2}\
&=\sqrt{(-5)^2+(1)^2}\
&=\sqrt{25 + 1}\
&=\sqrt{26}
\end{align*}
$$

# Answer:
$\sqrt{26}$

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Question

Explanation:

Step1: Identify coordinates

Step2: Substitute into distance formula

Answer: