2 use the distance formula below to answer the question: distance formula $d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$ what is the distance between $(7, -2)$ and $(3,1)$?

Question

Accepted Answer

# Explanation:
## Step1: Identify coordinates
Let $(x_1,y_1)=(7,-2)$ and $(x_2,y_2)=(3,1)$
## Step2: Substitute into distance formula
$$
\begin{align*}
d&=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\
&=\sqrt{(3 - 7)^2+(1-(-2))^2}\
&=\sqrt{(-4)^2+(3)^2}\
&=\sqrt{16 + 9}\
&=\sqrt{25}
\end{align*}
$$
## Step3: Simplify
$d = 5$

# Answer:
$5$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify coordinates

Step2: Substitute into distance formula

Step3: Simplify

Answer: