find the distance between the points.

Question

Accepted Answer

# Explanation:
## Step1: Determine coordinates
From the graph, $P_1=(-6,2)$ and $P_2=(4,-1)$.
## Step2: Use distance formula
The distance formula is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.
Substitute $x_1=-6,y_1 = 2,x_2=4,y_2=-1$ into the formula:
$$
\begin{align*}
d&=\sqrt{(4-(-6))^2+(-1 - 2)^2}\
&=\sqrt{(4 + 6)^2+(-3)^2}\
&=\sqrt{10^2+(-3)^2}\
&=\sqrt{100 + 9}\
&=\sqrt{109}
\end{align*}
$$

# Answer:
$\sqrt{109}$

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QUESTION IMAGE

Question

Explanation:

Step1: Determine coordinates

Step2: Use distance formula

Answer: