Question

What is the distance between (-5, -6)(−5,−6)and (-3, -8)(−3,−8)?

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-3-(-5)]^2+[-8-(-6)]^2}\implies d = \sqrt{(-3+5)^2+(-8+6)^2} \\\\\\ d = \sqrt{2^2+(-2)^2}\implies d = \sqrt{4+4}\implies d = \sqrt{8}\implies d\approx 2.83$