find the distance between the two points in simplest radical form.

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates of the two points
From the graph, the two points are $(1,1)$ and $(3, - 3)$.
## Step2: Use the distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Let $(x_1,y_1)=(1,1)$ and $(x_2,y_2)=(3,-3)$.
Substitute into the formula:
$$
\begin{align*}
d&=\sqrt{(3 - 1)^2+(-3 - 1)^2}\
&=\sqrt{2^2+(-4)^2}\
&=\sqrt{4 + 16}\
&=\sqrt{20}\
&=\sqrt{4\times5}\
& = 2\sqrt{5}
\end{align*}
$$

# Answer:
$2\sqrt{5}$

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QUESTION IMAGE

Question

Explanation:

Step1: Identify the coordinates of the two points

Step2: Use the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Answer: