Question

Find the distance between the two points A(- 7, 5) and B(4, - 9) .
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Answer 1

`~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{-7}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{-9})\qquad \qquad d = √(( x_2- x_1)^2 + ( y_2- y_1)^2) \\\\\\ AB=√([4 - (-7)]^2 + [-9 - 5]^2)\implies AB=√((4+7)^2+(-14)^2) \\\\\\ AB=√(121+196)\implies AB=√(317)`