Answer
$\text{neither parallel nor perpendicular}$
Work Step by Step
Step 1. Find the slopes of each line: for $y=4x+5$, we have $m_1=4$; for $y=-4x+2$, we have $m_2=-4$;
Step 2. Since $m_1\ne m_2$ and $m_1\cdot m_2\ne-1$, the two lines are neither parallel nor perpendicular.
