Given the points:
( x1 , y1) = (-2, - 2 )
(x2, y2 ) = (2 , 2 )
Apply:
[tex]d=\sqrt[\placeholder{⬚}]{(x2-x1)^{^2}+(y2-y1)^{^2}}[/tex]
Replacing:
[tex]d=\sqrt[\placeholder{⬚}]{(2-(-2))^{^2}+(2-(-2)^{^2}}[/tex][tex]d=\sqrt[\placeholder{⬚}]{(2+2)^{^2}+(2+2)^{^2}}[/tex][tex]d=\sqrt[\placeholder{⬚}]{4^{^2}+4^{^2}}=\sqrt[\placeholder{⬚}]{16+16}=\sqrt[]{32}=5.7[/tex]
Answer:
5.7
