# Distance

Geometry Level 3

Given the line $$k: 3x+4y=12$$. The point $$P$$ has coordinates $$(x_p,0)$$ and lies at a distance of 3 to the line $$k$$.

Calculate the coordinates $$x_p = a$$ and $$x_p = b$$ of $$P$$.

Give your answer as $$a + b$$.

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