Distance between 2 points

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$\text{Find the distance between the points }A\left(7,-10\right)\text{ and }B \left(-1,-16\right)$

**Answer**

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

$\text{The distance between the points }A\left(7,-10\right)\text{ and }B \left(-1,-16\right)$

$=\sqrt{(-16-(-10))^2+(-1-7)^2}$

$= \sqrt{(-6)^2+(-8)^2}$

$= \sqrt{36+64}$

$= \sqrt{100}$

$= 10$