Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{P(2,6)}[/tex]
[tex]\mathsf{2x + 4y - 1 = 0}[/tex]
[tex]\mathsf{d_{p,r} = |\:\dfrac{a.x_0 + b.y_0 + c}{\sqrt{a^2 + b^2}}\:|}[/tex]
[tex]\mathsf{d_{p,r} = |\:\dfrac{(2).(2) + (4).(6) - 1}{\sqrt{2^2 + 4^2}}\:|}[/tex]
[tex]\mathsf{d_{p,r} = |\:\dfrac{4 + 24 - 1}{\sqrt{4 + 16}}\:|}[/tex]
[tex]\mathsf{d_{p,r} = |\:\dfrac{27}{\sqrt{20}}\:|}[/tex]
[tex]\boxed{\boxed{\mathsf{d_{p,r} = \dfrac{27\sqrt{20}}{20}}}}[/tex]
