Question

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

Explanation:

Step1: Identify the formula

Use the distance formula for two points \((x_1,y_1)\) and \((x_2,y_2)\): \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \(x_1 = 2,y_1=-2,x_2 = 10,y_2=-2\).

Step2: Substitute the values

Substitute into the formula: \(d=\sqrt{(10 - 2)^2+(-2-(-2))^2}=\sqrt{(8)^2+(0)^2}\).

Step3: Calculate the result

\(d=\sqrt{64 + 0}=\sqrt{64}=8\).

Answer:

\(8\)