Question

I need help with this problem , GEOMETRY

Answer 1

`k:\ y=m_1x+b_1\\l:\ y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1m_2=-1`

`1.\\(-6,\ 1),\ (0,\ -2)\\\\m_1=(-2-1)/(0-(-6))=(-3)/(6)=-(1)/(2)\\\\(0,\ 3),\ (4,\ 1)\\\\m_2=(1-3)/(4-0)=(-2)/(4)=-(1)/(2)\\\\m_1=m_2\\\\Answer:\ Parallel`

`(-4,\ 0),\ (2,\ 4)\\\\m_1=(4-0)/(2-(-4))=(4)/(6)=(2)/(3)\\\\(-3,\ 4),\ (1,\ -2)\\\\m_2=(-2-4)/(1-(-3))=(-6)/(4)=-(3)/(2)\\\\m_1m_2=(2)/(3)\cdot\left(-(3)/(2)\right)=-1\\\\Answer:\ Perpendicular`