Question

Find the distance between the pair of points: (−6,−2) and (0,−1) .

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~0 - (-6)~~)^2 + (~~-1 - (-2)~~)^2)\implies d=√((0 +6)^2 + (-1 +2)^2) \\\\\\ d=√( (6)^2 + (1)^2) \implies d=√( 36 + 1)\implies d=√( 37 )\implies d\approx 6.08`