[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-2}) \qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(-3-2)^2+(-2-3)^2}\implies d=\sqrt{(-5)^2+(-5)^2} \\\\\\ d=\sqrt{25+25}\implies d=\sqrt{50}[/tex]