Question

question
find the distance between the two points rounding to the nearest tenth (if necessary).
(-8,7) and (-2,-1)

Explanation:

Step1: Identify the coordinates

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

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

Substitute the values:
\(d=\sqrt{(-2-(-8))^2+(-1 - 7)^2}\)
\(=\sqrt{(6)^2+(-8)^2}\)
\(=\sqrt{36 + 64}\)
\(=\sqrt{100}\)
\(=10\)

Answer:

\(10\)