Question

Calculate the distance between the points P=(1, -1) and N=(5, -8) in the coordinate plane.

Round your answer to the nearest hundredth.

PLEASE PLEASE HELP ME

Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ PN=√((~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2) \implies PN=√((5 -1)^2 + (-8 +1)^2) \\\\\\ PN=√(( 4 )^2 + ( -7 )^2) \implies PN=√( 16 + 49 ) \implies PN=√( 65 )\implies PN\approx 8.06`