Question

If a =-12/5, then 5x+2y=6 and 3x - ay= 4 are parallel.
True or false

Answer 1

`\displaystyle\\d_1:~~~5x+2y=6~\implies~m_1=\boxed{-(5)/(2)}\\\\d_2:~~3x-ay=4~~with~~a=(-12)/(5)\\\\d_2:~~3x+(12)/(5)y=4~\implies~m_2=(~-3~)/((12)/(5))=-(15)/(12)=\boxed{-(5)/(4)}\\\\\\\bf~m_1\\eq m_2\\\\\implies~~FALSE`