The distance of the point \( \Large \left(-2,\ 3\right) \) from the line \( \Large x-y=5 \) is \( \Large P =| \frac{-2-3-5}{\sqrt{ \left(1\right)^{2}+ \left(-1\right)^{2} }}|=|\frac{-10}{\sqrt{2}}|=|\frac{10}{\sqrt{2}}|=5\sqrt{2} \)
