Respuesta :

Answer:

10

Explanation:

Given endpoints:

            E (-2,2) and F(4, -6)

To find the distance between two points;

   Use the expression below;

 D = [tex]\sqrt{(y_{2} - y_{1} )^{2} + (x_{2} - x_{1})^{2} }[/tex]

x₁  = -2,

x₂ = 4

y₁ = 2

y₂ = -6

  Insert the parameters and solve;

       D = [tex]\sqrt{(-6 - 2 )^{2} + (4 -+ 2)^{2} }[/tex]

      D = [tex]\sqrt{64+ 36 }[/tex]   = 10