Question

On a grid, what is the distance between two points located at (1,1) and (4,5)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~4 - 1~~)^2 + (~~5 - 1~~)^2)\implies d=√( (3)^2 + (4)^2) \\\\\\ d=√( 9 + 16)\implies d=√( 25 )\implies d=5`