Question

Find the distance between the two points.

Answer 1

Check the picture below.

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~2 - (-3)~~)^2 + (~~3 - (-2)~~)^2) \implies d=√((2 +3)^2 + (3 +2)^2) \\\\\\ d=√(( 5 )^2 + ( 5 )^2) \implies d=√( 25 + 25 ) \implies d=√( 50 )`