Question

Find the distance between the pair of points.

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 0 &,& -11~) % (c,d) &&(~ -9 &,& -12~) \end{array} \\\\\\ d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-9-0]^2+[-12-(-11)]^2} \\\\\\ d=\sqrt{(-9-0)^2+(-12+11)^2} \\\\\\ d=\sqrt{(-9)^2+(-1)^2}\implies d=\sqrt{82}$