[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{(-3-5)^2+(-5-1)^2}\implies d=\sqrt{(-8)^2+(-6)^2} \\\\\\ d=\sqrt{64+36}\implies d=\sqrt{100}\implies \boxed{d=10}[/tex]
