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The distance of the point (-2, 3) from the line x -y = 5 is:

A) \( \Large 5\sqrt{2} \)
B) \( \Large 2\sqrt{5} \)
C) \( \Large 3\sqrt{5} \)
D) \( \Large 5\sqrt{3} \)

Correct Answer:

A) \( \Large 5\sqrt{2} \)

Description for Correct answer:

The distance of the point \( \Large \left(-2,\ 3\right) \) from the line \( \Large x-y=5 \) is

\( \Large P =| \frac{-2-3-5}{\sqrt{ \left(1\right)^{2}+ \left(-1\right)^{2} }}|=|\frac{-10}{\sqrt{2}}|=|\frac{10}{\sqrt{2}}|=5\sqrt{2} \)

Part of solved Straight lines questions and answers : >> Elementary Mathematics >> Straight lines

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