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
$$
\begin{align*}
d&=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\
&=\sqrt{(-5 - 0)^2+(-1-(-2))^2}\
&=\sqrt{(-5)^2+(1)^2}\
\end{align*}
$$
## Step3: Calculate
$$
\begin{align*}
d&=\sqrt{25 + 1}\
&=\sqrt{26}
\end{align*}
$$
# Answer:
$\sqrt{26}$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify coordinates

Step2: Substitute into distance formula

Step3: Calculate

Answer: