Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo-a-passo:
[tex]\mathsf{3x + 7y = 9}[/tex]
[tex]\mathsf{7y = -3x + 9}[/tex]
[tex]\boxed{\boxed{\mathsf{y = -\dfrac{3x}{7} + \dfrac{9}{7}}}}\rightarrow\mathsf{m' = -\dfrac{3}{7}}[/tex]
[tex]\mathsf{7x - 3y = 2}[/tex]
[tex]\mathsf{3y = 7x - 2}[/tex]
[tex]\boxed{\boxed{\mathsf{y = \dfrac{7x}{3} - \dfrac{2}{3}}}}\rightarrow\mathsf{m'' = \dfrac{7}{3}}[/tex]
[tex]\mathsf{-\dfrac{3}{7} \times \dfrac{7}{3} = -1}[/tex]
[tex]\boxed{\boxed{\mathsf{m'.m'' = -1}}}\leftarrow\textsf{s{\~a}o perpendiculares}[/tex]
