[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[4-(-5)]^2+[-5-3]^2}\implies d=\sqrt{(4+5)^2+(-5-3)^2} \\\\\\ d=\sqrt{9^2+(-8)^2}\implies d=\sqrt{145}\implies d\approx 12.04[/tex]
