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

Question

Accepted Answer

# Explanation:
## Step1: Identify the coordinates of the two points
Let the two points be $A(x_1,y_1)$ and $B(x_2,y_2)$. From the graph, $A(4, - 3)$ and $B(7,-7)$
## Step2: Use the distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
Substitute $x_1 = 4,y_1=-3,x_2 = 7,y_2=-7$ into the formula:
$$
\begin{align*}
d&=\sqrt{(7 - 4)^2+(-7+3)^2}\
&=\sqrt{3^2+(-4)^2}\
&=\sqrt{9 + 16}\
&=\sqrt{25}\
\end{align*}
$$
# Answer:
$5$

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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: