Competition problem — Geometry — Maths Olympiad Prep

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Geometry Difficulty 2.8 Junior Find the answer

The distance from point P(1, -1) to the line $x-y+1=0$ is \_\_\_\_\_\_.

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Solution: By using the formula for the distance from a point to a line, we get: $\frac{3}{\sqrt{2}} = \frac{3\sqrt{2}}{2}.$
Therefore, the answer is: $\boxed{\frac{3\sqrt{2}}{2}}$
This problem can be solved directly by applying the formula for the distance from a point to a line.
This question tests the formula for the distance from a point to a line, and it is a basic problem.

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.