Question

Determine whether the pair of lines is parallel, perpendicular, or neither. Y=-6/5x+2 Y=6/5x+2

Answer 1

$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ \perp\ l\iff m_1\cdot m_2=-1\\\\k\ ||\ l\iff m_1=m_2$

$k:y=-\dfrac{6}{5}x+2\to m_1=-\dfrac{6}{5}\\\\l:y=\dfrac{6}{5}x+2\to m_2=\dfrac{6}{5}\\\\m_1\neq m_2\to\text{no parallel}\\\\m_1\cdot m_2=-\dfrac{6}{5}\cdot\dfrac{6}{5}\neq-1\to\text{ no perpendicular}$

Answer: NEITHER