Question

Find the distance between the points L(7,-1) and M(-2, 4). Answer in simplest exact
Form

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ L(\stackrel{x_1}{7}~,~\stackrel{y_1}{-1})\qquad M(\stackrel{x_2}{-2}~,~\stackrel{y_2}{4})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ LM=√((~~-2 - 7~~)^2 + (~~4 - (-1)~~)^2) \implies LM=√((-2 -7)^2 + (4 +1)^2) \\\\\\ LM=√(( -9 )^2 + ( 5 )^2) \implies LM=√( 81 + 25 ) \implies LM=√( 106 )`