Question

What is the distance between the points(-4,-1) and (-6,8) in simplest radical form.

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-6}~,~\stackrel{y_2}{8})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ d=√([-6 - (-4)]^2 + [8 - (-1)]^2)\implies d=√((-6+4)^2+(8+1)^2) \\\\\\ d=√((-2)^2 + 9^2)\implies d=√(85)`