Question

question
find the distance between the two points in simplest radical form.
$(-2,1)$ and $(-8,-7)$

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(-2,1)\) and \((x_2,y_2)=(-8,-7)\)

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

Substitute the values:
\(d=\sqrt{(-8 - (-2))^2+(-7 - 1)^2}\)
\(=\sqrt{(-8 + 2)^2+(-8)^2}\)

Step3: Simplify the expression inside the square root

\(=\sqrt{(-6)^2+64}\)
\(=\sqrt{36 + 64}\)
\(=\sqrt{100}\)

Answer:

\(10\)