Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{y - y_0 = m(x - x_0)}[/tex]
[tex]\mathsf{y - (-\dfrac{3}{2}) = (-\dfrac{1}{2}).(x - \dfrac{1}{4})}[/tex]
[tex]\mathsf{y + \dfrac{3}{2} = (-\dfrac{1}{2}).(x - \dfrac{1}{4})}[/tex]
[tex]\mathsf{y + \dfrac{3}{2} = -\dfrac{x}{2} + \dfrac{1}{8}}[/tex]
[tex]\mathsf{\dfrac{2y + 3}{2} = \dfrac{-4x + 1}{8}}[/tex]
[tex]\mathsf{8y + 12 = -4x + 1}[/tex]
[tex]\boxed{\boxed{\mathsf{4x + 8y + 11 = 0}}}[/tex]
