Question

Find the distance between (-3,2) and (5, -6) using the distant formula.

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-6})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([5-(-3)]^2+[-6-2]^2)\implies d=√((5+3)^2+(-8)^2) \\\\\\ d=√(8^2+8^2)\implies d=√(2(8^2))\implies d=8√(2)`