Question

The lines below are perpendicular If the solid line has a slope of 2/3 what is the slope of the dashed line?

Answer 1

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

`\begin{gathered} (2)/(3)m_2=\text{ -1} \\ m_2=-1/(2)/(3) \\ m_2=-1*(3)/(2) \\ m_2=(-3)/(2) \end{gathered}`

The slope of the dashed line = -3/2