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![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\d=\sqrt{[2-(-2)]^2+[-3-2]^2}\implies d=\sqrt{(2+2)^2+(-3-2)^2}\\\\\\d=\sqrt{4^2+(-5)^2}\implies d=\sqrt{41}](/tpl/images/0087/4415/1dc65.png)
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