Line \( v \) has a slope of \( \frac{9}{8} \). Line \( w \) is perpendicular to \( v \). What is the slope of line \( w \) ?

To find the slope of line \( w \), which is perpendicular to line \( v \) with a slope of \( \frac{9}{8} \), we use the fact that the product of the slopes of two perpendicular lines is \(-1\). Therefore, we can use the formula: \[ m_v \cdot m_w = -1 \] Substituting \( m_v = \frac{9}{8} \): \[ \frac{9}{8} \cdot m_w = -1 \] To find \( m_w \), we rearrange the equation: \[ m_w = -\frac{1}{\frac{9}{8}} = -\frac{8}{9} \] Thus, the slope of line \( w \) is \(-\frac{8}{9}\).