Question

A line goes through the points (2,1) and (0,9). What is the distance between the two points (rounded to 3 decimal places)?

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{9})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~0 - 2~~)^2 + (~~9 - 1~~)^2) \implies d=√(( -2 )^2 + ( 8 )^2) \\\\\\ d=√( 4 + 64 ) \implies d=√( 68 )\implies d\approx 8.246`