Question

Are the graphs y=4x-4 and 24x-4y=96 parallel

Answer 1

$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\\\k:y=4x-4;\ l:24x-4y=96\\\\24x-4y=96\ \ \ \ |subtract\ 24x\ from\ both\ sides\\-4y=-24x+96\ \ \ \ |divide\ both\ sides\ by\ (-4)\\y=6x-24\\\\m_1=4;\ m_2=6\Rightarrow m_1\neq m_2$

Answer: The graphs y = 4x - 4 and 24x - 4y = 96 are not parallel.