Distance between 2 points

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$\text{Find the distance between the points }A\left(1,-6\right)\text{ and }B \left(-1,3\right)$

**Answer**

$\text{The distance between any two points }P (x_1,y_1) \text{ and } Q(x_2,y_2) = \sqrt{ (y_2-y_1)^2 - (x_2-x_1)^2}$

$\text{The distance between the points }A\left(1,-6\right)\text{ and }B \left(-1,3\right)$

$=\sqrt{(3-(-6))^2+(-1-1)^2}$

$= \sqrt{(9)^2+(-2)^2}$

$= \sqrt{81+4}$

$= \sqrt{85}$