Question

Find the distance between (0,-2), (-5,-1)

Answer 1

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad(\stackrel{x_2}{-5}~,~\stackrel{y_2}{-1})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\d=\sqrt{[-5-0]^2+[-1-(-2)]^2}\implies d=\sqrt{(-5-0)^2+(-1+2)^2}\\\\\\d=\sqrt{(-5)^2+1^2}\implies d=\sqrt{26}\implies d\approx 5.099$