Question

Line B has a slope of -3/4. Line C is perpendicular to line B. What is the slope of line C?

Answer 1

`Let\ k:y=m_1x+b_1\ and\ l:y=m_2x+b_2\ then\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-(1)/(m_1)\\----------------------------------\\\text{The slope}\ m_1\ \text{of the line B is equal}\ -(3)/(4).\\\text{Let the slope of the line C perpendicular to line B is}\ m_2.\\\text{Then:}\\\\m_2=-(1)/(-(3)/(4))=(4)/(3)`