Question

Find the distance between the two points

Answer 1

Check the picture below.

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~4 - (-2)~~)^2 + (~~1 - (-4)~~)^2) \implies d=√((4 +2)^2 + (1 +4)^2) \\\\\\ d=√(( 6 )^2 + ( 5 )^2) \implies d=√( 36 + 25 ) \implies d=√( 61 )`