Question

find the distance between the points (-2, 1) and (-8, 10).

Explanation:

Step1: Identify the coordinates

Let \((x_1,y_1)=(-2,1)\) and \((x_2,y_2)=(-8,10)\)

Step2: Use the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)
Substitute the values: \(x_2 - x_1=-8-(-2)=-8 + 2=-6\), \(y_2 - y_1=10 - 1 = 9\)
Then \(d=\sqrt{(-6)^2+9^2}=\sqrt{36 + 81}=\sqrt{117}\)

Step3: Simplify and round

\(\sqrt{117}\approx10.8\) (rounded to the nearest tenth)

Answer:

\(10.8\)