Question

the equation of line e is ( y = \frac{9}{8}x + 2 ). the equation of line f is ( y = \frac{-8}{9}x + \frac{1}{9} ). are line e and line f parallel or perpendicular? parallel perpendicular neither

Explanation:

Step1: Recall slope criteria

For two lines \( y = m_1x + b_1 \) and \( y = m_2x + b_2 \):

• Parallel: \( m_1 = m_2 \)
• Perpendicular: \( m_1 \times m_2 = -1 \)

Step2: Identify slopes

Line \( e \): \( m_1 = \frac{9}{8} \)
Line \( f \): \( m_2 = \frac{-8}{9} \)

Step3: Check perpendicularity

Multiply slopes: \( \frac{9}{8} \times \frac{-8}{9} = -1 \)

Answer:

perpendicular