[tex] \bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad
(\stackrel{x_2}{-8}~,~\stackrel{y_2}{1})\qquad \qquad
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[-8-(-3)]^2+[1-(-4)]^2}\implies d=\sqrt{(-8+3)^2+(1+4)^2}
\\\\\\
d=\sqrt{(-5)^2+5^2}\implies d=\sqrt{5^2+5^2}\implies d=\sqrt{2(5^2)}\implies d=5\sqrt{2} [/tex]
