Respuesta
$d = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}$.
Explicación
The distance between two parallel lines $Ax + By + C_1 = 0$ and $Ax + By + C_2 = 0$ is $d = \frac{|C_1 - C_2|}{\sqrt{A^2 + B^2}}$.
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$d = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}$.
The distance between two parallel lines $Ax + By + C_1 = 0$ and $Ax + By + C_2 = 0$ is $d = \frac{|C_1 - C_2|}{\sqrt{A^2 + B^2}}$.