[tex]k:\ y=m_1x+b\\\\l:\ y=m_2x+c\\\\l\ ||\ k\iff m_1=m_2\\\\k:\ y=\dfrac{2}{3}x-17\to m_1=\dfrac{2}{3}\\\\l:\ 4x-6y=-6\ \ \ |-4x\\\\-6y=-4x-6\ \ \ |:(-6)\\\\y=\dfrac{-4}{-6}x-\dfrac{6}{-6}\\\\y=\dfrac{2}{3}+1\to m_2=\dfrac{2}{3}\\\\m_1=m_2[/tex]
Answer:Yes, since the slopes are the same and the y-intercepts are different.
