Question

Find the distance between the two points in simplest radical form (1,-7) (7,0)

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{1}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{0})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√((~~7 - 1~~)^2 + (~~0 - (-7)~~)^2)\implies d=√((7 -1)^2 + (0 +7)^2) \\\\\\ d=√( (6)^2 + (7)^2) \implies d=√( 36 + 49)\implies d=√( 85 )`