# Analytic geometry

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What is the distance of the line x+6y-7=0 from the origin?

• Analytic geometry -

If (a,b) is any point, its distance to the line
Ax + By + C = 0 is

|Aa + Bb + C|/(A^2 + B^2)

distance
= |0+0-7|/(1+36)
= 7/√37
which the probably rationalized .

7/√37 * √37/√37 = 7√37/37

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