Question

Find the distance between the points given

(0, -6) and (9, 6)

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{6})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([9-0]^2+[6-(-6)]^2)\implies d=√((9-0)^2+(6+6)^2) \\\\\\ d=√(9^2+12^2)\implies d=√(225)\implies d=15`