Question

The lines shown below are perpendicular. If the green line has a slope ofş, what is the slope of the red line?10O A. -རྒྱ་B.nim+551015-5O c.O D.WN10 -

Answer 1

From the statement we have two lines, one red and the other green, which have the following properties:

A) the lines are perpendicular,

B) the green line has a slope:

`m_g=-(2)/(3)`

Because the lines are perpendicular, their slopes satisfy the following equation:

`m_g\cdot m_r=-1_{}`

Replacing the equation from (B) we find that:

`\begin{gathered} m_r\cdot(-(2)/(3))=-1 \\ m_r=(3)/(2) \end{gathered}`

Answer

The answer is option C. 3/2