Question

Calculate the distance between the points E = (-4 , 5) and L=(1 , -3) in the coordinate plane. Give an exact answer (not a decimal approximation).

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ E(\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad L(\stackrel{x_2}{1}~,~\stackrel{y_2}{-3})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ EL=√((~~1 - (-4)~~)^2 + (~~-3 - 5~~)^2) \implies EL=√((1 +4)^2 + (-3 -5)^2) \\\\\\ EL=√(( 5 )^2 + ( -8 )^2) \implies EL=√( 25 + 64 ) \implies EL=√( 89 )`