Question

If point A is located at (0,-8) and B is located at (4,-5) what is the distance between them

A. 5
B. 6
C. 7
D. 8

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{0}~,~\stackrel{y_1}{-8})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{-5})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√([4-0]^2+[-5-(-8)]^2)\implies AB=√((4-0)^2+(-5+8)^2) \\\\\\ AB=√(4^2+3^2)\implies AB=√(25)\implies AB=5`