Respuesta :

If two lines are perpendicular, then the product of their slopes is -1:

[tex]m_r\cdot m_g=-1...(1)[/tex]

From the problem, we identify:

[tex]m_r=-\frac{4}{3}\text{ \lparen the slope of the red line\rparen}[/tex]

Then, using the equation (1), we calculate the slope of the green line:

[tex]\begin{gathered} -\frac{4}{3}\cdot m_g=-1 \\ \\ \therefore m_g=\frac{3}{4} \end{gathered}[/tex]

Answer: Option D

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