Question

A(4,-7) B(-2,1) find AB

Answer 1

`\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\A(\stackrel{x_1}{4}~,~\stackrel{y_1}{-7})\qquadB(\stackrel{x_2}{-2}~,~\stackrel{y_2}{1})\qquad \qquadd = √(( x_2- x_1)^2 + ( y_2- y_1)^2)\\\\\\AB=√([-2-4]^2+[1-(-7)]^2)\implies AB=√((-2-4)^2+(1+7)^2)\\\\\\AB=√((-6)^2+8^2)\implies AB=√(36+64)\implies AB=√(100)\implies AB=10`