Answer:
The slope of the dashed line = -3/2
Explanations:
Consider two perpendicular lines, If the slope of the first line is m₁ and the slope of the second line is m₂ , the relationship between the slopes of the two lines is m₁m₂ = -1.
In the given question, the solid line and the dashed line are perpendicular. Let the slope of the solid line be represented as m₁.
m₁ = 2/3
Let the slope of the dashed line be m₂
Using the relationship m₁m₂ = -1
[tex]\begin{gathered} \frac{2}{3}m_2=\text{ -1} \\ m_2=-1\div\frac{2}{3} \\ m_2=-1\times\frac{3}{2} \\ m_2=\frac{-3}{2} \end{gathered}[/tex]
The slope of the dashed line = -3/2
