Question

If the two lines below are perpendicular and the slope ofthe red line is -, what is the slope of the green line?51015-5-5-105

Answer 1

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

`m_r\cdot m_g=-1...(1)`

From the problem, we identify:

`m_r=-(4)/(3)\text{ \lparen the slope of the red line\rparen}`

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

`\begin{gathered} -(4)/(3)\cdot m_g=-1 \\ \\ \therefore m_g=(3)/(4) \end{gathered}`

Answer: Option D